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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. Accessible Anytime: Vedantu's revision notes are easily accessible online, allowing students to study at their convenience and revise the material anytime, anywhere.Growing up in Sioux Falls, South Dakota, a small city surrounded by endless plains, I've found unexpected echoes of home in China's smaller towns — from the warmth of locals in Huaihua, Central China's Hunan province, to the quiet charm of Yangshuo, South China's Guangxi Zhuang autonomous region. With an itch to see more of China's lesser-visited regions, I began planning a trip to the northwest with seven friends — five Americans, one Pakistani, one Zimbabwean, and one Colombian. We bought round-trip tickets from Shanghai to Yinchuan, Ningxia Hui autonomous region, for less than $120 each. From there, we planned to rent a car and drive to Xining in Qinghai, then on to Qinghai Lake, and finally to Lanzhou, Gansu. To make that possible, several of us applied for Chinese driver's licenses, a process that involved translating our US licenses into Mandarin and passing a short test on traffic laws. Within a day, we were licensed. As we piled into two rental cars in late March to begin our eight-day journey, it became clear that this wasn't just a road trip — it was the culmination of our four years in China, the Mandarin we had so diligently studied, and our ongoing effort to contribute to US-China people-to-people relations. Right away, we drew curious reactions. At the Yinchuan airport, taxi drivers offered us rides into the city, only to stare in astonishment when we told them we had rented cars. "You're driving? In China?" one driver asked, visibly surprised. It was a reaction we'd encountered multiple times during our trip, as foreign drivers are rare in China, especially in remote regions. In Yinchuan, we stocked up on snacks and adjusted to the chilly desert air. From there, we headed west, navigating wide highways framed by dramatic landscapes: arid plains, jagged mountains, and occasionally, a herd of sheep crossing the road. The vastness of the Northwest was humbling — and as someone who grew up on the wide-open prairies of South Dakota, it felt oddly familiar. One of the highlights of our trip was camping by Qinghai Lake, the largest saltwater lake in China. A few summers ago, Santiago Solano, one of my classmates from the US, cycled from Xi'an in Shaanxi to Urumqi in the Xinjiang Uygur autonomous region over the course of a month and met many kind strangers along the way. One of them was Geng San, a Tibetan lamb herder who managed a piece of land right next to Qinghai Lake and graciously invited us to camp there. "That's what China is — it's the people. The quiet generosity of an old Tibetan nomad who, years after we first met, still offered us a place to rest on his land," said Solano, who is also part of the group on this trip. But apparently, we underestimated just how cold it would be to camp next to Qinghai Lake in late March. It was deathly freezing. In preparation for the trip, we had ordered two tent kits and eight sleeping bags. However, when the temperature eventually dropped to — 10 C, all of us piled into the cars and turned the heaters on. So much for camping. From Qinghai Lake, we drove to Lanzhou, where we visited many food markets and tried every type of noodle on offer. Since we are college students, we rented a gaming hotel room — something I've only ever seen in China. At night, instead of attending local parties as we had before, we stayed in the hotel and gamed late into the morning. For me, the trip was as much about the journey as it was about the destinations. Driving through Northwest China gave us a unique perspective on the region's natural beauty and its people. At gas stations, shopkeepers greeted us with curiosity and kindness, often offering recommendations for nearby attractions. At roadside carts, we sampled local specialties, grabbing a quick skewer and a mango for the road. And at every stop, we were touched by the warmth and hospitality that make traveling in China so rewarding. As an American who has lived in China for several years, I'm often asked about my experiences here. Trips like this one remind me of the similarities between the two countries, despite their differences. Just as road trips are a quintessential part of American culture, they've become my favorite way to explore China. Whether it's driving through the rolling hills of South Dakota or the deserts of Ningxia, there's something universal about the freedom and camaraderie that come with having complete control over where you end up. Written by Charlie Howes, a 22-year-old American who has lived in China since 2019. He completed his final year of high school at Beijing No 80 High School and is currently studying at New York University Shanghai. He has founded a company in China focused on facilitating US-China trade and plans to continue living in Shanghai long term. He enjoys road trips, cycling around the world, learning languages, and meeting new people.Exams can be a source of stress and anxiety for many students, but there are ways to prepare and cope with the pressure. One important step is to start studying well in advance and break down the material into manageable chunks. This can be done by creating a study schedule and setting specific goals for each study session. Another key aspect of exam preparation is revision. This means going over your notes, practicing test-taking skills, and reviewing any areas where you may be struggling. It's also important to take care of yourself both physically and mentally. This includes getting enough sleep, eating a healthy diet, and engaging in regular exercise. Additionally, it's crucial to manage stress levels, using techniques such as deep breathing and meditation can help. On the day of the exam, it's important to stay calm and focused. This can be achieved by getting to the exam location early, so you can settle in before the test starts. Also, try to avoid cramming last-minute studying, it's better to relax and review your notes before the exam. Lastly, after the exam, try not to dwell on your performance, focus on the things you did well and the progress you've made. Remember that exams are just one aspect of your education and shouldn't define your self-worth. What do an ancient Greek philosopher and a 19th century Quaker have in common with Nobel Prize-winning scientists? Although they are separated over 2,400 years of history, each of them contributed to answering the eternal question: what is stuff made of? It was around 440 BCE that Democritus first proposed that everything in the world was made up of tiny particles surrounded by empty space. And he even speculated that they vary in size and shape depending on the substance they compose. He called these particles "atomos," Greek for indivisible. His ideas were opposed by the more popular philosophers of his day. Aristotle, for instance, disagreed completely, stating instead that matter was made of four elements: earth, wind, water and fire, and most later scientists followed suit. Atoms would remain all but forgotten until 1808, when a Quaker teacher named John Dalton sought to challenge Aristotelian theory. Whereas Democritus's atomism had been purely theoretical, Dalton showed that common substances always broke down into the same elements in the same proportions. He concluded that the various compounds were combinations of atoms of different elements, each of a particular size and mass that could neither be created nor destroyed. Though he received many honors for his work, as a Quaker, Dalton lived modestly until the end of his days. Atomic theory was now accepted by the scientific community, but the next major advancement would not come until nearly a century later with the physicist J.J. Thompson's 1897 discovery of the electron. In what we might call the chocolate chip cookie model of the atom, he showed atoms as uniformly packed spheres of positive matter filled with negatively charged electrons. Thompson won a Nobel Prize in 1906 for his electron discovery, but his model of the atom didn't stick around long. This was because he happened to have some pretty smart students, including a certain Ernest Rutherford, who would become known as the father of the nuclear age. While studying the effects of X-rays on gases, Rutherford decided to investigate atoms more closely by shooting small, positively charged alpha particles at a sheet of gold foil. Under Thompson's model, the atom's thinly dispersed positive charge would not be enough to deflect the particles in any one place. The effect would have been like a bunch of tennis balls punching through a thin paper screen. But while most of the particles did pass through, some bounced right back, suggesting that the foil was more like a thick net with a very large mesh. Rutherford concluded that atoms consisted largely of empty space with just a few electrons, while most of the mass was concentrated in the center, which he termed the nucleus. The alpha particles passed through the gaps but bounced back from the dense, positively charged nucleus. But the atomic theory wasn't complete just yet. In 1913, another of Thompson's students by the name of Niels Bohr expanded on Rutherford's nuclear model. Drawing on earlier work by Max Planck and Albert Einstein he stipulated that electrons orbit the nucleus at fixed energies and distances, able to jump from one level to another, but not to exist in the space between. Bohr's planetary model took center stage, but soon, it too encountered some complications. Experiments had shown that rather than simply being discrete particles, electrons simultaneously behaved like waves, not being confined to a particular point in space. And in formulating his famous uncertainty principle, Werner Heisenberg showed it was impossible to determine both the exact position and speed of electrons as they moved around an atom. The idea that electrons cannot be pinpointed but exist within a range of possible locations gave rise to the current quantum model of the atom, a fascinating theory with a whole new set of complexities whose implications have yet to be fully grasped. Even though our understanding of atoms keeps changing, the basic fact of atoms remains, so let's celebrate the triumph of atomic theory with some fireworks. As electrons circling an atom shift between energy levels, they absorb or release energy in the form of specific wavelengths of light, resulting in all the marvelous colors we see. And we can imagine Democritus watching from somewhere, satisfied that over two millennia later, he turned out to have been right all along.Some Arctic Dinos Lived in Herds
By Sid Perkins
Just as interesting, however, is how this was discovered. Scientists didn’t look at a single fossil bone.
Instead, they analyzed a large number of preserved footprints on a mountainside located toward the
southern end of central Alaska.
Anthony Fiorillo works at the Perot Museum of Nature and Science in Dallas, Texas. As a vertebrate
paleontologist, he studies the fossils of creatures with backbones. In 2007, he was part of a research
team exploring Denali National Park. “We rounded the corner and there they were,” he recalls.
Thousands of footprints had been preserved in stone. “It was amazing.”
Dinosaurs died out more than 65 million years ago (not
counting birds, their modern-day relatives). So, it’s a bit
surprising that scientists know so much about these
ancient creatures. Now, a new study reveals that a certain
type of duckbilled dinosaur lived in the Arctic year-round.
These animals also traveled in herds that included many
age groups, they find. The creatures even appear to have
gone through a “teenage growth spurt.”
Those tracks pepper a steep patch of exposed rock about twice as
long as a football field and up to 60 meters (roughly 200 feet) wide.
They sit at least 160 kilometers (100 miles) north of the Gulf of Alaska.
Between 69 million and 72 million years ago, that now-rocky material
was muddy sediment on a floodplain near a seacoast, Fiorillo explains.
The hadrosaurs walked across the squishy mud. Later, the footprints
they left turned to stone.
Previous studies suggested adult duckbills took care of their young,
says Fiorillo. The new evidence that these dinosaurs truly traveled in
herds with multiple age groups confirms that parents cared for their
young well beyond the time they left the nest, his team concludes. The
researchers published their findings June 30 in Geology.
© Science News for Students
Thousands of tracks cover this
rocky mountainside in Alaska’s
Denali National Park. They
provide a wealth of information
about the size, age and lifestyle
of certain dinosaurs.
COURTESY OF PEROT MUSEUM OF
NATURE AND SCIENCE
EVIDENCE FOR HERDS O F DINOSAURS
Small meat-eating dinosaurs called theropods had left behind a few of the tracks that Fiorillo’s team
found in Denali. Birds had left some others. But the vast majority came from creatures called
hadrosaurs. These large plant-eating duckbilled dinosaurs had been quite common during the
Cretaceous Period. That helps explain one of their nicknames: “cattle of the Cretaceous.”
For the new study, the researchers focused only on the hadrosaur tracks. More than half of the
footprints were preserved so well that they had clear impressions of the skin on the dinosaurs’ feet.
Most tracks had a similar level of preservation. That suggests all were probably left within a short
period. Other fossils in the nearby rocks, including insect burrows, suggest these hadrosaurs had left
their footprints during the summer. These are trace fossils — evidence of ancient life other than a
preserved carcass or bone.
At the time these dinosaurs lived, Fiorillio says, the average temperature in the warmest months was
between 10° and 12° Celsius (50° and 54° Fahrenheit). That’s about what conditions are like today
along the border between Canada and the lower 48 U.S. states, he notes.
The team measured a large sample of the duckbills’ footprints. They fell into four distinct size ranges.
The largest tracks, presumably made by adults, measured about 64 centimeters (25 inches) across. The
smallest tracks, 8 centimeters (3 inches) wide, were likely left by young duckbills. They would have
been no more than a year old. Tracks of two other size groups were probably made by juveniles and
near-adults.
These data suggest the community of hadrosaurs included four different age groups.
© Science News for Students
A hadrosaur footprint made
roughly 70 million years ago. For
scale, the long blue bar at right is
10 centimeters long; each small
blue or white bar measures 1
centimeter.
COURTESY OF PEROT MUSEUM OF NATURE
AND SCIENCE
© Science News for Students
THESE DINOSAURS DIDN’T MIGRATE
About 84 percent of the tracks sampled for the new study had been left by older hadrosaurs — adults or
near-adults. Roughly 13 percent came from the youngest members of the herd. And a mere 3 percent
came from herd members considered to be juveniles, says Fiorillo. The rarity of tracks by these tweens
suggests that the young of this species had a rapid growth spurt. If true, they would have spent relatively
little time at this vulnerable size — and therefore left very few tracks.
“What’s really neat is how many small tracks there are,” notes Anthony Martin. An ichnologist — or
expert in trace fossils — he works at Emory University in Atlanta, Ga.
Other scientists had analyzed fossil bones from duckbills. These studies had hinted that the equivalent of
adolescent hadrosaurs would have experienced growth spurts. But the new findings are “the best
evidence that I’ve seen,” says Eric Snively. He’s a vertebrate paleontologist at the University of Wisconsin-
La Crosse. “This is a great study,” he adds, “and further evidence that juvenile hadrosaurs grew up in an
eye-blink.”
Also previously, researchers had proposed that Arctic dinosaurs migrated farther south for the winter.
That’s because even if the region was much warmer than it is today, nights in the high Arctic would have
been 24 hours long. So, with no sunshine for several months, Alaska would have had long periods of very
bleak, chilly weather.
But finding juveniles in the herd
strongly suggests that these
dinosaurs remained in the Arctic all
year. That’s because adolescents and
preadolescents wouldn’t have had
the strength or stamina to make
those long treks, Fiorillo maintains.
Field work is often harsh. Paleontologists studying the dinosaur
footprints here on an Alaskan mountainside sometimes worked
in cold and fog.
COURTESY OF PEROT MUSEUM OF NATURE AND SCIENCE
© Science News for Students
The presence of very young dinosaurs might have been expected, he notes: If this were a nesting region,
the babies would have hatched sometime just before summer. And remember, that’s when these tracks
were left. But that wouldn’t explain the juveniles, he says.
The team’s findings “suggest that these dinosaurs were overwintering in Alaska somehow,” says Snively.
At the time, the average temperature in the region remained above freezing even during the winter, he
notes. But, he adds, “this study raises interesting issues about how the dinosaurs could live in the region
when it was pretty dark for several months at a time.”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 hillStudents are classified according to major. Twenty students are selected from each major and asked how often they use the library. Which sampling technique is used？Beautiful plants 1.lt'sa sunny day.and the students are in the school garden.They are planting some tomato plants toaether. First. Liu Tao makes a hole. Next.Wang Bing puts a plant in it.Then.Mike fills the hole with soil.Fina lly. Su Hai waters the plant.They are tired but happy. 2.The students look after the plants carefully. They often water the plants. Sometimes they drive away the pests. They keep a diary about the plants. The plants grow well.The students are excited to see many small green tomatoes. 3.Finally.some tomatoes are red.The students pick the tomatoes.They wash and share them with their classmates and teachers. How delicious! Everyone likes them!