9-5 The Distance Formula

Electrostatics The section of CBSE Class 12 Physics electrostatic potential and capacitance notes mainly deals with the in-depth analysis of electromagnetic phenomena when they are not performing any movements. Additionally, it is divided into ten further sub-topics to study the companion processes of reaching the state. These are - 1. Electric charge In this section of Physics ch 2 Class 12 notes, you get to learn about the basic features of electric charge and its expression in Physics. Along with its basics, the sections help to understand the full potential of charge. Different aspects of Charge included in Class 12 Physics Chapter 2 notes are - Definition Type: Positive and Negative Charge Unit and dimensional formula Point Charge Properties of Charge Comparison of Charge and Mass Methods of Charging Electroscope 2. Coulomb's Law Force is created when charges of opposite signs attract each other, and they repulse if the signs are the same. Coulomb's law tries to define this phenomenon through a mathematical formula, explicitly mentioned in Physics Class 12 notes Chapter 2. Moreover, there is key information about the variation of the constant k and its effect on a medium. Coulomb's law's vector form and the principle of superimposition are also explained in ch 2 Physics Class 12 notes. (Image will be uploaded soon) 3. Electric Field As stated in Class 12 Physics Chapter 2 notes, every positively or negatively charged particle has their respective electric fields. It feels a force at the time of interaction which might be attraction or repulsion. As it arises from electric charge, it is crucial to know about its different parts like - Electric field intensity Relation between electric force and electric field Super imposition of electric field Point charge Continuous charge distributions Properties of Electric Field Lines Motion of Charged Particles in an Electric field Learning more about the electric field from electric potential and capacitance notes Class 12 helps a student to get a grasp of upcoming chapters. 4. Electric Potential Energy When energy helps a charge to move from an electric field, it is known as the Electric Potential Energy. This section of electrostatic chapter Class 12 notes requires a student to study the Electron volt (eV), and the potential energy that an n number of charges can hold. 5. Electric Potential This section of Class 12 Physics Chapter 2 notes focuses on in-depth learning of Electric Potential or Voltage. Basically, it defines the potential movement of energy. 6. Relation between Electric Field and Potential Apart from knowing more about the relationship between the two values, Physics Class 12 Chapter 2 notes also discuss equipotential surfaces. 7. Electric Dipole Essentially, 'Dipoles' are two opposite points of charge represented with q and –q, with their distance between each other being 2a. Electric Dipoles are crucial in your study of Physics Class 12 Chapter 2 notes to learn more about electric fields and their potential. Additionally, Class 12 Physics Chapter 2 notes focus on the influence of electric dipoles on a uniform electric field mainly through Force and Torque, Work, and Potential Energy. In the last part of Electrostatics, further focus is on using the formulas to their fullest potential. It includes subsections of Electric Field, Electric Potential Energy, Electric Potential, and Electric Dipole. In the notes for electrostatic potential and capacitance, you will find proper solutions accompanied by clear and crisp diagrams for better understanding. 8. Gauss's Law Apart from just discussing the Gauss's Law, in Physics Class 12 ch 2 notes there is a thorough explanation of its properties and applications. The Gauss' Law states that net electric flux passing through a hypothetical closed surface is equal to the net electric charge present within the same closed surface. Being a broad part of the whole chapter, you may need to spend a little more time on it. Moving forward, it starts discussing the properties of conductors in relation to Gauss's Law. The Class 12 Physics notes Chapter 2 perfectly defines the journey to Gauss' Law from Coulomb's Law. Here is the Gauss's Law present in the Class 12 Physics ch 2 notes, (image will be uploaded soon) 9. Capacitors There is a dedicated section about Capacitors in the Class 12 Physics Chapter 2 notes elucidating its functions and importance as storage of potential electric energy. After explaining the structure of a capacitor, it points out the different types, parallel plate, spherical and cylindrical. The section of Chapter 2 notes of Physics Class 12 is further divided into subheads like: Properties of an ideal battery Grouping of capacitors Simple circuits (Series and Parallel) Dielectric Van de Graaff generator Combination of drops Charge distribution method Wheatstone Bridge-based circuit Extended Wheatstone Bridge Infinite network of capacitors Redistribution of charge between two capacitors Vedantu prepares the Class 12 Physics Chapter 2 notes with help from subject matter experts. In the PDF, you get a comprehensive idea of the topic along with potential answers to the most asked questions. Furthermore, the detailed explanation on each section and subsections are written in a simple language allows a student to ace their exams with wholesome knowledge. These Physics Chapter 2 Class 12 notes are going to be one of the best supplementary study materials besides a student’s textbooks. Visit the Vedantu website or download the app to get your hands on all important notes! Important Questions A charge of 4 × 10–8C is uniformly distributed on the surface of a spherical conductor, having a radius of 15 cm. Determine the electric field just outside this sphere at a point that is 15 cm from the centre of this sphere. Determine the capacitance given that the distance between the two plates has been reduced by half and the parallel plate capacitor holds a capacitance of 20 pF (where 1pF = 10-12 F) having air between the two plates. What will be the total capacitance of a combination where three capacitors, each having a capacitance of 20 pF, are connected in series. A square having a side of 10 cm has a 500 µC charge at its centre. Determine the work done to move a charge of 10 µC between two points that are diagonally opposite each other on the square. At an equatorial point, what will be the electrostatic potential because of an electric dipole? Calculate the work done to move a test charge, q, through a length of 1 cm along the equatorial axis of an electric dipole? Polarisation A capacitor has its plates enclosed in a medium that can be filled by insulating substances. A net dipole moment is then induced by an electric field in the dielectric. This event causes the field in an opposite direction. Equipotential Surface An equipotential surface is a type of surface where the potential always has a constant value. If considered as a point charge, the concentric spheres that are centred at a particular area of this charge are basically equipotential surfaces. Advantages of Vedantu's Revision Notes: A Comprehensive Resource for Effective Learning There are several reasons why one may refer to Vedantu's revision notes for studying a subject like Electrostatic Potential and Capacitance. Here are some key points: Comprehensive Coverage: Vedantu's revision notes provide a comprehensive coverage of the entire topic, ensuring that all important concepts and subtopics are included. Concise and Organized: The notes are designed to be concise, focusing on the key points and core ideas. They are organized in a structured manner, making it easy for students to navigate and revise the content. Simplified Explanation: The revision notes offer simplified explanations of complex concepts, making them more accessible and easier to understand. This helps students grasp the material more effectively. Key Formulas and Equations: The notes highlight the key formulas and equations relevant to the topic, ensuring that students have a clear understanding of the mathematical aspects of Electrostatic Potential and Capacitance. Examples and Illustrations: Vedantu's revision notes often include examples and illustrations that help clarify concepts and provide practical applications, enabling students to better relate theory to real-world scenarios. Quick Recap: The revision notes serve as a quick recap of the important points, allowing students to review the material efficiently before exams or assessments. Exam-Oriented Approach: Vedantu's revision notes are designed with an exam-oriented approach, focusing on the topics and concepts that are frequently asked in examinations. This helps students prepare effectively and increase their chances of scoring well. 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Understanding Quantum Theory of Electrons in Atoms The goal of this section is to understand the electron orbitals (location of electrons in atoms), their different energies, and other properties. The use of quantum theory provides the best understanding to these topics. This knowledge is a precursor to chemical bonding. As was described previously, electrons in atoms can exist only on discrete energy levels but not between them. It is said that the energy of an electron in an atom is quantized, that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels. The energy levels are labeled with an n value, where n = 1, 2, 3, …. Generally speaking, the energy of an electron in an atom is greater for greater values of n. This number, n, is referred to as the principal quantum number. The principal quantum number defines the location of the energy level. It is essentially the same concept as the n in the Bohr atom description. Another name for the principal quantum number is the shell number. The shells of an atom can be thought of concentric circles radiating out from the nucleus. The electrons that belong to a specific shell are most likely to be found within the corresponding circular area. The further we proceed from the nucleus, the higher the shell number, and so the higher the energy level (Figure 9.4.1). The positively charged protons in the nucleus stabilize the electronic orbitals by electrostatic attraction between the positive charges of the protons and the negative charges of the electrons. So the further away the electron is from the nucleus, the greater the energy it has. This quantum mechanical model for where electrons reside in an atom can be used to look at electronic transitions, the events when an electron moves from one energy level to another. If the transition is to a higher energy level, energy is absorbed, and the energy change has a positive value. To obtain the amount of energy necessary for the transition to a higher energy level, a photon is absorbed by the atom. A transition to a lower energy level involves a release of energy, and the energy change is negative. This process is accompanied by emission of a photon by the atom. The following equation summarizes these relationships and is based on the hydrogen atom: The values nf and ni are the final and initial energy states of the electron. The principal quantum number is one of three quantum numbers used to characterize an orbital. An atomic orbital, which is distinct from an orbit, is a general region in an atom within which an electron is most probable to reside. The quantum mechanical model specifies the probability of finding an electron in the three-dimensional space around the nucleus and is based on solutions of the Schrödinger equation. In addition, the principal quantum number defines the energy of an electron in a hydrogen or hydrogen-like atom or an ion (an atom or an ion with only one electron) and the general region in which discrete energy levels of electrons in a multi-electron atoms and ions are located. Another quantum number is l, the angular momentum quantum number. It is an integer that defines the shape of the orbital, and takes on the values, l = 0, 1, 2, …, n – 1. This means that an orbital with n = 1 can have only one value of l, l = 0, whereas n = 2 permits l = 0 and l = 1, and so on. The principal quantum number defines the general size and energy of the orbital. The l value specifies the shape of the orbital. Orbitals with the same value of l form a subshell. In addition, the greater the angular momentum quantum number, the greater is the angular momentum of an electron at this orbital. Orbitals with l = 0 are called s orbitals (or the s subshells). The value l = 1 corresponds to the p orbitals. For a given n, p orbitals constitute a p subshell (e.g., 3p if n = 3). The orbitals with l = 2 are called the d orbitals, followed by the f-, g-, and h-orbitals for l = 3, 4, 5, and there are higher values we will not consider. There are certain distances from the nucleus at which the probability density of finding an electron located at a particular orbital is zero. In other words, the value of the wavefunction ψ is zero at this distance for this orbital. Such a value of radius r is called a radial node. The number of radial nodes in an orbital is n – l – 1. Consider the examples in Figure 9.4.2. The orbitals depicted are of the s type, thus l = 0 for all of them. It can be seen from the graphs of the probability densities that there are 1 – 0 – 1 = 0 places where the density is zero (nodes) for 1s (n = 1), 2 – 0 – 1 = 1 node for 2s, and 3 – 0 – 1 = 2 nodes for the 3s orbitals. The s subshell electron density distribution is spherical and the p subshell has a dumbbell shape. The d and f orbitals are more complex. These shapes represent the three-dimensional regions within which the electron is likely to be found. Principal quantum number (n) & Orbital angular momentum (l): The Orbital Subshell: https://youtu.be/ms7WR149fAY If an electron has an angular momentum (l ≠ 0), then this vector can point in different directions. In addition, the z component of the angular momentum can have more than one value. This means that if a magnetic field is applied in the z direction, orbitals with different values of the z component of the angular momentum will have different energies resulting from interacting with the field. The magnetic quantum number, called ml, specifies the z component of the angular momentum for a particular orbital. For example, for an s orbital, l = 0, and the only value of ml is zero. For p orbitals, l = 1, and ml can be equal to –1, 0, or +1. Generally speaking, ml can be equal to –l, –(l – 1), …, –1, 0, +1, …, (l – 1), l. The total number of possible orbitals with the same value of l (a subshell) is 2l + 1. Thus, there is one s-orbital for ml = 0, there are three p-orbitals for ml = 1, five d-orbitals for ml = 2, seven f-orbitals for ml = 3, and so forth. The principal quantum number defines the general value of the electronic energy. The angular momentum quantum number determines the shape of the orbital. And the magnetic quantum number specifies orientation of the orbital in space, as can be seen in Figure 9.4.3. Figure 9.4.4 illustrates the energy levels for various orbitals. The number before the orbital name (such as 2s, 3p, and so forth) stands for the principal quantum number, n. The letter in the orbital name defines the subshell with a specific angular momentum quantum number l = 0 for s orbitals, 1 for p orbitals, 2 for d orbitals. Finally, there are more than one possible orbitals for l ≥ 1, each corresponding to a specific value of ml. In the case of a hydrogen atom or a one-electron ion (such as He+, Li2+, and so on), energies of all the orbitals with the same n are the same. This is called a degeneracy, and the energy levels for the same principal quantum number, n, are called degenerate energy levels. However, in atoms with more than one electron, this degeneracy is eliminated by the electron–electron interactions, and orbitals that belong to different subshells have different energies. Orbitals within the same subshell (for example ns, np, nd, nf, such as 2p, 3s) are still degenerate and have the same energy. While the three quantum numbers discussed in the previous paragraphs work well for describing electron orbitals, some experiments showed that they were not sufficient to explain all observed results. It was demonstrated in the 1920s that when hydrogen-line spectra are examined at extremely high resolution, some lines are actually not single peaks but, rather, pairs of closely spaced lines. This is the so-called fine structure of the spectrum, and it implies that there are additional small differences in energies of electrons even when they are located in the same orbital. These observations led Samuel Goudsmit and George Uhlenbeck to propose that electrons have a fourth quantum number. They called this the spin quantum number, or ms. The other three quantum numbers, n, l, and ml, are properties of specific atomic orbitals that also define in what part of the space an electron is most likely to be located. Orbitals are a result of solving the Schrödinger equation for electrons in atoms. The electron spin is a different kind of property. It is a completely quantum phenomenon with no analogues in the classical realm. In addition, it cannot be derived from solving the Schrödinger equation and is not related to the normal spatial coordinates (such as the Cartesian x, y, and z). Electron spin describes an intrinsic electron “rotation” or “spinning.” Each electron acts as a tiny magnet or a tiny rotating object with an angular momentum, even though this rotation cannot be observed in terms of the spatial coordinates. The magnitude of the overall electron spin can only have one value, and an electron can only “spin” in one of two quantized states. One is termed the α state, with the z component of the spin being in the positive direction of the z axis. This corresponds to the spin quantum number ms=12. The other is called the β state, with the z component of the spin being negative and ms=−12. Any electron, regardless of the atomic orbital it is located in, can only have one of those two values of the spin quantum number. The energies of electrons having ms=−12 and ms=12 are different if an external magnetic field is applied. Figure 9.4.5 illustrates this phenomenon. An electron acts like a tiny magnet. Its moment is directed up (in the positive direction of the z axis) for the 12 spin quantum number and down (in the negative z direction) for the spin quantum number of −12. A magnet has a lower energy if its magnetic moment is aligned with the external magnetic field (the left electron) and a higher energy for the magnetic moment being opposite to the applied field. This is why an electron with ms=12 has a slightly lower energy in an external field in the positive z direction, and an electron with ms=−12 has a slightly higher energy in the same field. This is true even for an electron occupying the same orbital in an atom. A spectral line corresponding to a transition for electrons from the same orbital but with different spin quantum numbers has two possible values of energy; thus, the line in the spectrum will show a fine structure splitting. The Pauli Exclusion Principle An electron in an atom is completely described by four quantum numbers: n, l, ml, and ms. The first three quantum numbers define the orbital and the fourth quantum number describes the intrinsic electron property called spin. An Austrian physicist Wolfgang Pauli formulated a general principle that gives the last piece of information that we need to understand the general behavior of electrons in atoms. The Pauli exclusion principle can be formulated as follows: No two electrons in the same atom can have exactly the same set of all the four quantum numbers. What this means is that electrons can share the same orbital (the same set of the quantum numbers n, l, and ml), but only if their spin quantum numbers ms have different values. Since the spin quantum number can only have two values (±12), no more than two electrons can occupy the same orbital (and if two electrons are located in the same orbital, they must have opposite spins). Therefore, any atomic orbital can be populated by only zero, one, or two electrons. The properties and meaning of the quantum numbers of electrons in atoms are briefly

1. Absolute Value - The magnitude of a number or the distance from 0 on a real number line. 2. Addend - Any number or quantity being added. (addend + addend = sum) 3. Algorithm - Step-by-step process to accomplish a task. 4. Difference - The amount that remains after one quantity is subtracted from another. (The answer to a subtraction problem) 5. Dividend - A quantity or total to be divided. (dividend ÷ divisor = quotient) 6. Divisor - The number per group by which the dividend is to be divided. 7. Factor - A number that is multiplied by another number. 8. Integers - A set of numbers that includes natural numbers, their opposites, and zero. (… -3, -2, -1, 0, 1, 2, 3 …) 9. Product - The result of a multiplication expression (the answer to a multiplication problem) 10. Quotient - The result of the division of one quantity by another (the answer to a division problem) 11. Rational Numbers - Numbers that can be expressed

1. [Force] Part A: A student wants to test how friction affects a toy car. She rolls the car across a sheet of sandpaper and then across a sheet of wax paper. Which is the independent (changing) variable? A. The speed of the car B. The type of surface C. The distance traveled D. The size of the car Part B: On which surface will the car likely stop the SOONEST? A. The wax paper B. The sandpaper C. Both will be the same D. Neither surface has friction 2. [Magnets] Which of these is a measurable question for a magnet experiment? A. Are magnets more fun than springs? B. What is the prettiest color for a magnet? C. How many steel paperclips can a bar magnet lift? D. Why were magnets invented? 3. [Earth's Changes] A student observes a statue in a park that has lost its nose and has smooth edges after many years of rain and wind. What process caused this? A. Erosion B. Deposition C. Weathering D. Evaporation 4. [Earth's Changes] When a river reaches the ocean, it slows down and creates a landform called a delta by dropping sand and silt. This "dropping off" is called: A. Weathering B. Deposition C. Condensation D. Friction 5. [Resources] Why is coal considered a nonrenewable resource? A. It can be burned to make electricity. B. It is found deep underground. C. It takes millions of years to form and cannot be replaced quickly. D. It is made from ancient plants. 6. [Conservation] A school replaces all its old lightbulbs with energy-efficient LED bulbs. This is an example of: A. Weathering a resource B. Conserving a resource C. Deposition of energy D. Creating a renewable resource 7. [Aquifers] An aquifer is like a giant underground sponge. What characteristic of the rocks allows them to hold water? A. The rocks are solid and water-proof. B. The rocks are porous, with tiny spaces for water to sit. C. The rocks are magnetic and pull water toward them. D. The rocks are melted into a liquid state. 8. [Water Cycle] On a humid morning, you see dew on the grass even though it didn't rain overnight. Which part of the water cycle formed the dew? A. Evaporation B. Precipitation C. Condensation D. Transpiration 9. [Climate] Which of the following is a description of CLIMATE? A. "It is currently 85 degrees in McAllen." B. "There is a 40% chance of rain this afternoon." C. "South Texas typically has mild winters and very hot summers." D. "The wind is blowing from the North at 10 mph today." 10. [Weather/Climate] A scientist is looking at a chart that shows the total annual rainfall in a city from 1990 to 2020. What is the scientist most likely studying? A. The daily weather forecast B. The climate of the region C. The water cycle of a single pond D. The rate of erosion on a local hill

The expression 2 + 4 1 + 2 is equal to (A) 0 (B) 1 (C) 2 (D) 4 (E) 5 2. The ones (units) digit of 542 is 2. When 542 is multiplied by 3, the ones (units) digit of the result is (A) 9 (B) 3 (C) 5 (D) 4 (E) 6 3. Some of the 1 × 1 squares in a 3 × 3 grid are shaded, as shown. What is the perimeter of the shaded region? (A) 10 (B) 14 (C) 8 (D) 18 (E) 20 4. If 3x + 4 = x + 2, the value of x is (A) 0 (B) −4 (C) −3 (D) −1 (E) −2 5. Which of the following is equal to 110% of 500? (A) 610 (B) 510 (C) 650 (D) 505 (E) 550 6. Eugene swam on Sunday, Monday and Tuesday. On Monday, he swam for 30 minutes. On Tuesday, he swam for 45 minutes. His average swim time over the three days was 34 minutes. For how many minutes did he swim on Sunday? (A) 20 (B) 25 (C) 27 (D) 32 (E) 37.5 7. For which of the following values of x is x 3 < x2 ? (A) x = 5 3 (B) x = 3 4 (C) x = 1 (D) x = 3 2 (E) x = 2112 years, Janice will be 8 times as old as she was 2 years ago. How old is Janice now? (A) 4 (B) 8 (C) 10 (D) 2 (E) 6 10. In the diagram, pentagon T P SRQ is constructed from equilateral 4 P T Q and square P QRS. The measure of ∠ST R is equal to (A) 10◦ (B) 15◦ (C) 20◦ (D) 30◦ (E) 45◦ Q P R S T Part B: Each correct answer is worth 6. 11. In the diagram, which of the following points is at a different distance from P than the rest of the points? (A) A (B) B (C) C (D) D (E) E y A x 2 2 4 4 6 8 6 8 B C D E P 12. If x = 2 and y = x 2 − 5 and z = y 2 − 5, then z equals (A) −6 (B) −8 (C) 4 (D) 76 (E) −4 13. In the diagram, P QR is a straight line segment. If x + y = 76, what is the value of x? (A) 28 (B) 30 (C) 35 (D) 36 (E) 38 x° x° x° y° y° P Q R 14. The line with equation y = 2x − 6 is reflected in the y-axis. What is the x-intercept of the resulting line? (A) −12 (B) 6 (C) −6 (D) −3 (E) 0 15. Amy bought and then sold 15n avocados, for some positive integer n. She made a profit of $100. (Her profit is the difference between the total amount that she earned by selling the avocados and the total amount that she spent in buying the avocados.) She paid $2 for every 3 avocados. She sold every 5 avocados for $4. What is the value of n? (A) 100 (B) 20 (C) 50 (D) 30 (E) 8 16. If 3x = 5, the value of 3x+2 is (A) 10 (B) 25 (C) 2187 (D) 14 (E) 45

The Revolt of the Northern Earls (1569) Most people in the North remained loyal to the Catholic noble families who controlled the north and their Catholic faith. When Elizabeth came to power, she promoted ‘new men’ (Protestants) from the gentry and the powerful Catholic nobles lost their power and influence. This led them to organise the most serious rebellion of Elizabeth’s reign in 1569. Why did the Northern Earl’s revolt? The Earls had lost their power when Elizabeth became Queen (and wanted it back). They wanted Catholicism restored in England (and felt that ordinary Catholics would support it). Elizabeth was refusing to marry or to name an heir, causing uncertainty about England’s future. Mary Queen of Scots (if freed from prison) could replace Elizabeth and solve all these problems Who were the key players in the Revolt? Earl of Northumberland • A Catholic who had held an important position under Mary I. • He lost a lot of influence under Elizabeth (as she favoured Protestant gentry) • Elizabeth also took the rights to a valuable copper mine found on his lands Earl of Westmorland • From a rich Catholic family in the north Also the Duke of Norfolk’s brother in law Duke of Norfolk • England’s most senior Protestant noble, but he had very close links to old northern Catholic families, & was sympathetic to them & greedy for power. • He hated William Cecil & Robert Dudley, Earl of Leicester (Elizabeth’s favourite) who were Protestant and from the gentry • He planned to marry Mary QS, but later backed down and urged the earls to call off the rebellion. Mary also supported the plan to marry him What role did religion play? (7/10 – but only because it was linked to power) • Most northerners held onto their Catholic beliefs & although Elizabeth didn’t persecute them, they knew that she wanted their religion to gradually die out, so they supported the revolt. • In 1561 Elizabeth hired a strict Protestant as archbishop of Durham to promote Protestantism in the north, but he was unpopular & turned many northerners against the Protestant religion. What role did politics/power play? (9/10 – this was the most important cause of the revolt) • The Northern Earls lost a lot of their power/influence (even jobs/money under Elizabeth) • Northumberland was jealous of new Protestant families being given top jobs in the North • William Cecil & Robert Dudley were not from ancient noble families, but were very close to the Queen, so the northern Earls resented them getting top jobs in her Government • Elizabeth also confiscated large areas of land & the profits from their copper mines • It is possible, that had Elizabeth allowed the Catholic Northern Earls to keep their jobs, money and influence at court, they may have ‘tolerated’ her as a Protestant Queen (greedy/selfish). What role did Mary Queen of Scots and the Succession play? • Elizabeth was refusing to name an heir and it was becoming clear that she would not marry • If Mary Queen of Scots married the Duke of Norfolk, England would have an heir and England would be Catholic again. The country would be stable without people competing for power. • However, some of Elizabeth’s courtiers got worried that it might not work and that it might lead to charges of treason (punishable by death) • So by September 1569, Robert Dudley (Earl of Leicester) decided to tell Elizabeth about the plot. By this time it was much more serious than simply marrying Norfolk to Mary. • Mary QS had secretly asked Spain to send troops to help the rebellion & overthrow Elizabeth Plan for the Revolt of the Northern Earls (1569) • The Earls of Northumberland & Westmorland will raise rebel troops from their lands in the north and take control of Durham. • The rebels will then march south towards London to join with the Duke of Norfolk • 1000s of Spanish troops will land in England to support the rebel forces • The Duke of Norfolk & rebel forces will seize control of Government & overthrow Elizabeth • Mary Queen of Scots is to be freed, ready to marry the Duke of Norfolk Key Events of the Revolt • Once Elizabeth knew of the plot, Norfolk was arrested and sent to the Tower of London • The Northern Earls were worried they would be executed for their involvement and in a desperate attempt to avoid punishment, pushed ahead with the revolt • They raised an army of ordinary Catholics and took control of Durham cathedral • Catholic mass was celebrated across the north for 2 weeks. • They then headed south, to try and free Mary • Mary QSs was moved south to Coventry on the orders of Elizabeth, so she couldn’t escape • The rebellion failed as Spanish troops never arrived • Elizabeth’s friend (Earl of Sussex) had raised an army of 7,000 men to defend her throne. Results: • The rebellion was a serious threat to Elizabeth • She executed 450 rebels in the north • Northumberland was executed in 1572 & his head was put on a spike on the city gate • The Privy Council called for the Duke of Norfolk’s execution too, but Elizabeth released him. • Mary Queen of Scots was kept in prison for the next 14 years. • The failed plot also led the Pope to take action against Elizabeth • In 1570 he excommunicated Elizabeth from the Catholic Church • He also issued a Papal Bull (order) calling on all loyal Catholics to overthrow her hoping it would encourage another rebellion. • In 1571 Elizabeth called parliament to pass an Act making it treason to claim that she was not the rightful Queen and to bring in/print papal bulls in England. The Significance of the Revolt of the Northern Earls • It was the first and most serious rebellion by English Catholics against Elizabeth • Treason laws were made much harsher • It ended the influence of the powerful Catholic Earls in the North • It led to harsher treatment of Catholics, e.g. 1572 Elizabeth sent the Earl of Huntingdon (strict Protestant) to the north to carry out laws against Catholics (and suppress Catholicism). • Although Elizabeth’s brutal revenge on the rebels show how serious a threat it was, most Catholics in the north stayed loyal, but the Pope’s Papal Bull now put their loyalty in doubt There was little support for the revolt among the rest of the Catholic nobility and ordinary people. When faced with a choice between Elizabeth and their religion, most Catholics chose to support the Queen. 1569, was the last time English Catholics tried to remove Elizabeth by force. The future plots against her were always uncovered by Cecil & Walsingham, before they had a chance to get any public support. Despite this, the Northern Revolt & Papal Bull changed Elizabeth’s attitude towards Catholics who were now seen as potential traitors. From 1570, Elizabeth became less tolerant of recusants (people refusing to attend her church) & took increasingly tough measures against Catholics. The Ridolfi, Throckmorton & Babington plots • In the 1870s-80s, there were 3 Catholic plots to assassinate Elizabeth & replace her with Mary. • The plots were supported by France, Spain, the Pope and some Catholic nobles. • They reinforced the form Mary & from Catholics at home and abroad. Also the threat from Spain. The Ridolfi Plot (1571) • Ridolfi was an Italian banker living in England and a spy for the Pope. • He organised a plot to murder Eliz, marry Mary QS to the Duke of Norfolk & make her Queen. • The Pope & King Philip supported the plot & Philip told the Duke of Alba in the Netherlands to prepare 10,000 troops (but to only invade AFTER the English had overthrown Elizabeth). • The plot failed because Sir William Cecil intercepted coded letters & Norfolk was executed. • Mary was kept under closer watch. • Ridolfi was abroad when the plot was discovered and never returned to England. 1574: Catholic Priests and Priest Holes • From 1574 Catholic priests were smuggled into England to keep the religion alive. • They stayed with rich Catholic families, so Catholic families were kept under surveillance. • Catholic homes were raided – to find ‘priest holes’ where Catholic priests were hiding. • Catholic priests who were found could be hung, drawn and quartered (although not all were) • In 1581, Parliament also passed 2 new tougher laws against Catholics: • Recusants would be fined £20 (which would bankrupt most families) • Trying to convert people to Catholicism was now treason (punishable by death) The Throckmorton Plot (1583) • It aimed to assassinate Elizabeth and replace her with Mary. The French Duke of Guise (Mary’s cousin) would invade England with an army, funded by King Philip (Pope also supported it). • An Englishman, Throckmorton carried messages between Mary & Catholic plotters abroad. • Sir Walsingham (Secretary of State) uncovered the plot after his agents found the plans for the plot in Throckmorton’s house. Throckmorton confessed under torture and was executed. Significance: • The plots showed that Mary’s presence in England posed a serious threat • It also showed that France & Spain were a serious threat (& could invade) • Throckmorton’s papers showed a list of Catholic supporters in England, so the threat from English Catholics was also real • 1,000s of Catholics were imprisoned or kept under surveillance/house arrest • In 1585 another Act was passed to make helping Catholic priests punishable by death. • The Bond of Association was signed by the English nobles & gentry & forced them to promise to execute anyone who tried to overthrow the Queen. Weaknesses of the Plots The plots lacked public support & were uncovered by informers & spies before they had the chance to work King Philip was reluctant to destroy his alliance with Elizabeth (France was still a bigger rival) so is support for the plots was half-hearted, he rarely followed through on his promises to help the plotters or send an army The Babington Plot (1586) In 1586, Walsingham used his spy network to PROVE that Mary supported the Babington plot. His evidence persuaded Elizabeth to put Mary on trial & execute her for treason. • This was a plot to murder Elizabeth and put Mary on the throne • France would invade England with 60,000 men and Spain would also send an army • Babington was passing coded letters between Mary & her supporters in England & Europe. • But all of her letters were being intercepted and read by Walsingham. • Walsingham used his spies to follow every stage of the plot & had the letters decoded • One of Mary’s letters approved plans to murder the Queen and free Mary from prison • They also contained the names of 6 Catholics who planned to kill Elizabeth • They were arrested, hung, drawn and quartered for treason. • Mary had been implicated in plots before, but Elizabeth was always reluctant to execute her • But the proof found by Walsingham finally persuaded her to put Mary on trial • In October 1586, Mary was found guilty & was sentenced to death • But Elizabeth still hesitated, and did not sign the death warrant until February 1587. Significance 1) This plot was very significant because by 1585 England was effectively at war with Spain since Elizabeth had sent her army to help the Dutch Protestants fight the Spanish 2) This meant that Elizabeth’ situation was more dangerous than during previous plots. 3) Elizabeth’s government also became more determined to crush Catholicism 4) 1000s of recusants were arrested & 31 priests were executed 5) Mary’s execution removed the Catholic threat at home 6) English Catholics had no one to rally around, & lost hope of overthrowing Elizabeth 7) But Mary’s death increased the threat of a foreign invasion as England was at war with Spain and King Philip had been preparing an attack on England since 1585 8) Mary’s death made Philip even more determined to invade, Mary had left her claim to the English throne to King Philip upon her death Why was Mary Queen of Scots finally executed? 1 • A new Act in 1585 stated that in the event of Elizabeth’s assassination, Mary could be executed as long as she had been proved guilty & Walsingham had provided hard proof. 2 • Another reason was that by 1587, it was clear that Philip was planning to invade England • There were rumours that Spanish ships had landed in Wales & that Mary had escaped. This convinced Elizabeth that Mary had to be executed if she wanted to keep her throne. Walsingham’s Spy Network: • Walsingham (Secretary of State from 1573) had a network of spies all over England & abroad. He had spies in every English town, some were normal people paid to spy on neighbours. • He also had agents and spies in Spain, France, Germany and Italy • He hired mathematicians to crack written codes and people to open/seal letters secretly • He also pressured captured Catholic priests to spy on others for him in return for a pardon. • He used double agents to infiltrate Catholic networks - to help him discover traitors • But he only used torture against Catholic priests caught in England in the most serious cases • But 130 priests and 60 of their supporters were still executed during Elizabeth’s reign. Why did Relations with Spain get worse (1569-1588) • England had tried to stay on good terms with Spain, because Eliz wanted to avoid an expensive war that could lead to her being overthrown (English Catholics could support it) • But by the 1570s, Elizabeth wanted to have an empire of her own. • She also needed to make more money to defend her country and throne (by improving trade) • This religious, political and economic rivalry led to growing tensions between England & Spain Political and Religious Rivalry 1) Land abroad, gave countries wealth/power. By the 1580s, Eliz wanted an empire to rival Spain’s (especially as Spain had supported the Catholic plots against Eliz – even if it was half-hearted) 2) Religion was another cause of conflict. Philip opposed Elizabeth’s religious settlement 1559 3) Luckily for Elizabeth, in the 1550s Spain & France were competing to be the greatest European power and both wanted England as an ally against the other. 4) But from 1567, Spanish ships were sailing to the Netherlands with money for the Alba’s army 5) This alarmed English Protestants and Elizabeth’s Privy Council who put more and more pressure on her to send an army to help the Dutch Protestant rebels (in the Netherlands). Economic (commercial) Rivalry: The New World, privateers and Sir Francis Drake • Under Elizabeth, English merchants wanted to make big profits in the New World (Americas). • However, trading in the New World was difficult because of Spain’s power 1) Spain controlled most of the New World where there were huge profits to be made and anyone who wanted to trade there needed a licence from Spain (which it would not give): 2) But the Americas had valuable crops like tobacco, sugar, and also silver and gold 3) Elizabeth secretly encouraged privateers to trade illegally & raid Spanish ports & ships 4) At first Elizabeth denied responsibility for their actions, which delaye war with Spain Sir Francis Drake: Elizabeth sends Drake to rob Spanish colonies and ships (which infuriates Spain) 1) Spain’s support for the Ridolfi plot (1571) made her more willing to support Drake • In 1572 Eliz hired Drake to sail to the New World & steal £40,000 of Spanish silver • In 1577 she sent Drake back again with a secret mission to rob Spain’s colonies/ships • Drake brought back £400,000 of Spanish treasure & claimed an area of California in Elizabeth’s name (New Albion). He gave a lot of this money to Elizabeth • He boosted England’s finances at a time of growing concern over Spain’s threat • He became famous as the first Englishman to circumnavigate the globe. • Eliz knighted Drake as a reward, which infuriated Philip (as he saw Drake as a pirate) • Drake’s actions & his claim to California made it clear that England did not accept Spain’s domination of the New World. Elizabeth’s Support for the Dutch Rebels led to War with Spain (1585-88) • By the 1580s, tension between England & Spain had reached boiling point • At first, Eliz refused to send her army to help the Dutch rebels, because she wanted to avoid a war with Spain. So she tried to get the Spanish to leave the Netherlands in other INDIRECT ways: 1) By allowing Drake (& other English privateers) to attack and rob Spanish ships and colonies 2) By encouraging others (the French heir/mercenaries) to fight the Spanish in the Netherlands • In the 1570s, Elizabeth promised to marry the heir to the French throne (the Duke of Alencon) so that he would take an army to fight the Spanish in the Netherlands The Spanish Fury (1576) and the Pacification of Ghent (1576) • By 1576, the Spanish Govt in the Netherlands was bankrupt (the war was expensive) • After months without pay, Spain’s soldiers violently robbed Dutch towns in the “Spanish Fury” Spanish troops rebelling and robbing cities in the Netherlands in 1576. This united the Dutch Protestants & Catholics against Spain. They drew up the ‘Pacification of Ghent’ (demanding that): • Spanish troops leave the Netherlands • Spain allows the Dutch to rule themselves • The persecution of Dutch Protestants stops What did Elizabeth do? • Elizabeth sent £100,000 to help the Dutch rebels • In 1577 King Philip’s brother, Don Juan agreed to the rebels demands (but this was a trick) as just 6 months later Philip sent an even bigger army to attack the Dutch. • Elizabeth then hired a mercenary army of 6000 English & Scottish volunteers to help the Dutch. • But her plan backfired because the mercenaries destroyed Dutch Catholic churches, which caused the Catholics to make peace with Spain. • In 1578, her Privy Council urged Eliz to send her official army to help the Dutch, but she refused. The Dutch were disappointed & turned to France for help. The French Duke of Alencon arrived with an army to fight the Spanish, but by 1579 Spain had taken control again. • In 1580 Spain got even stronger after Philip won control of Portugal & its empire. • So Elizabeth gave the Duke of Alencon £70,000 to help him fight the Spanish • In 1582, Alencon took his army the Netherlands but failed to defeat Spain. • Elizabeth’s foreign policy in the Netherlands had failed & she had only managed to annoy Spain 1585: Why did Eliz finally decide to send her army to the Netherlands? (she lost her 2 main allies) • 1584 the Duke of Alencon died (so he could no longer fight the Spanish in the Netherlands) • 1 month later, William of Orange, the leader of the Dutch Protestant rebels was assassinated. • In 1585, Spain signed the Treaty of Joinville with France, agreeing to stamp out Protestantism in France/Europe meaning France & Spain were now allies against Protestantism • Elizabeth now felt she had no choice but to send her official army to the Netherlands • She signed the Treaty of Nonsuch with the Dutch rebels which promised them military help 1585: Robert Dudley’s campaign in the Netherlands was unsuccessful She sent 7,400 man army to the Netherlands led by Dudley. But he accepted the title of ‘Governor General’. Eliz was angry as it suggested that she had deposed King Philip so she told Dudley to resign this position. His army was defeated by the bigger Spanish Army as Eliz had not provided him with enough money to win. In 1587 Dudley resigned and returned to England. At the same time, Eliz had sent Drake to raid Spanish colonies in the New World to disrupt King Philip’s flow of money. Philip was furious and told the Pope he planned to invade England at the end of 1585. Drake singes the King of Spain’s beard 1587 • In 1587 Elizabeth ordered Drake to attack Spain’s most important port Cadiz • He destroyed 30 ships in 3 days – known as the ‘Singeing of the King of Spain’s Beard’ • He also stole lots of wood, meaning the Armada did not have quality barrels for food/water • Drake’s disruption delayed the Armada by a year (& meant that its food rotted in 1588). • This bought England more time to prepare for war. The Spanish Armada (1588) The Plan • By 1588, the Spanish Armada was ready to invade England • It had 130 ships with 8000 sailors & 18,000 soldiers • The Duke of Medina Sidonia would lead the Armada, but he had little experience at sea and didn’t want the job • The Armada would collect Parma’s army from France & sail to England under the protection of the Armada’s warships • Parma would march to London to depose Elizabeth & impose a Catholic government in England. 1) The Armada reached the English Channel The Armada set out in May 1588, but was delayed for a few weeks by bad weather In July the Armada was near England & signal fires were lit to warn Elizabeth English ships set sail to meet the Armada The Armada sailed up the channel in a crescent (half moon) formation, to use the large armed galleons to protect the weaker supply and army ships The English navy carried out a few minor raids, but did not inflict much damage Only 2 Spanish ships were lost (by accident) 2) The English attack the Spanish at Calais (with fire ships) and at Gravelines The Armada sailed up the English channel & anchored at Calais to wait for Parma’s army But Parma’s men didn't reach the coast in time (news had reached them too late) At midnight, the English sent 8 fireships into the Spanish ships causing panic They cut their anchors, broke formation & headed for the open sea (without Parma) The Spanish ships sailed to Gravelines, but bad weather stopped them returning to Calais The English attacked and the battle lasted many hours (5 Spanish ships were sunk) The rest were forced to sail away from France towards Scotland The English ships followed them to make sure they didn’t come back to collect Parma’s army 3) The Armada’s Journey back to Spain around Ireland was a disaster The Spanish called off the attack and returned to Spain around Scotland & Ireland Bad storms sank many ships and wrecked more on the Irish coast Many sailors died from starvation & disease – less than half the men made it back to Spain How did England defeat the Spanish Armada? !) Faster Ships • Years before the battle, England had started building smaller, faster ships (galleons) that could fire canon balls quicker & further than Spanish ships • Spanish ships were huge and slow to change direction. 2) Bad Planning & Communication (Spanish) • Philip’s plan to join with the Duke of Parma’s army in France was risky. • Parma had lots of small ships which took 48 hours to load, man and set sail. • It took too long (a week) for word to reach Parma that Medina was in the English Channel, by which time Medina had set sail to Calais. • Parma was not ready to set sail & the English were already ready to attack (leaving Medina with very little back up when anchored in France). 2) English Tactics were more effective • Spanish ships aimed to come alongside the English ones, jump on board & fight the enemy. But the English ships were faster & kept a safe distance. • They chased the Armada down the Channel, with heavy cannon fire, which forced the Spanish to arrive in France before Parma’s army was ready • As the Armada was waiting, the English sent fireships into the Spanish fleet. • This caused the Armada to panic, cut their anchors & sail away to the north • When the Spanish ships regrouped, the English attacked them in the Battle of Gravelines & the Armada was forced to sail north, chased by faster ships. 5) Bad Weather • Strong winds made it impossible for the Armada to return & pick up Parma’s army and storms wrecked or sunk Spanish ships as they tried to return home along the Scottish-Irish coasts. 2) Spanish Supplies • The Armada was not well supplied with food/weapons. Drake’s attack on Cadiz port in 1587 had destroyed food barrels. Delays in setting sail meant that by the time the English attacked the Armada it had been at sea for 10 weeks and had rotting food. 1000s died from starvation/disease. The consequences of the English victory? • Victory over the Spanish Armada gave Elizabeth a great propaganda victory • A new portrait was made, and a medal was made to commemorate her victory, it said “God blew and they were scattered”. • Elizabeth claimed that God was on the side of Protestantism • This led to a feeling of English pride and encouraged the Dutch rebels to renew their fight against the Spanish • The defeat of the Armada showed the strength of the English navy and gave England the confidence to trade and explore more widely at sea • Although Philip did not give up and continued the war for the rest of Elizabeth’s reign, the defeat had cost Spain dearly, both financially and in terms of its power • The Armada marked the start of a long decline in Spain’s power and fortunes. • English ships were sent on voyages of discovery and set up valuable new trade routes • By the end of Elizabeth’s reign, the navy was also trying to set up a new colony in Virginia • The English victory boosted Elizabeth’s popularity & strengthened the Protestant cause

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