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A parallel-plate capacitor having plates 6.0 $\mathrm{cm}$ apart is connected across the terminals of a 12 $\mathrm{V}$ battery. (a) Being as quantitative as you can, describe the location and shape of the equipotential surface that is at a potential of $+6.0 \mathrm{V}$ relative to the potential of the negative plate. Avoid the edges of the plates. (b) Do the same for the equipotential surface that is at $+2.0 \mathrm{V}$ relative to the negative plate. (c) What is the potential gradient between the plates?

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Physics 101 Mechanics

Physics 102 Electricity and Magnetism

Chapter 18

Electric Potential and Capacitanc

Kinetic Energy

Potential Energy

Energy Conservation

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Capacitance and Dielectrics

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

University of Winnipeg

Lectures

13:02

In physics, potential energy is the energy possessed by a body or a system due to its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units (SI) is the joule (J). One joule is the energy expended (or work done) in applying a force of one newton through a distance of one metre (1 newton metre). The term potential energy was introduced by the 19th century Scottish engineer and physicist William Rankine, although it has links to Greek philosopher Aristotle's concepts of potentiality. Potential energy is associated with forces that act on a body in a way that the work done by these forces on the body depends only on the initial and final positions of the body, and not on the specific path between them. These forces, that are called potential forces, can be represented at every point in space by vectors expressed as gradients of a scalar function called potential. Potential energy is the energy of an object. It is the energy by virtue of a position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force that works against the force field of the potential. This work is stored in the field, which is said to be stored as potential energy.

18:38

In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb). The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum). The electric flux through a closed surface is zero, by Gauss's law.

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A capacitor is made from t…

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If an uncharged parallel-p…

01:15

Two large parallel metal p…

01:56

The electric field strengt…

03:18

The electric field stren…

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Two very large metal paral…

01:49

A parallel plate capacitor…

01:03

A set of parallel plates a…

03:55

So right now we have a parallel plate capacitor that is connected to a motive source of trouble. So we have that is equivalent to saying we have to. Definitely. She too. Infinitely large sheets of paper of conductors. And one is a cereal bowl in the Muslim is the troubles. So So question wants us to be as quantitative as we can do that describes the location and shape is a potential surface at six folds and it into balls. Okay. Oh, so let's first, you are the electric field between these two. Place is including large. That's the same potential. So this this electric field and we know and you could potential surface is always perpendicular to the electric field. So particular is Alexis. So we would expect that if this is a is this as a inflict place we have since the Equal Protection Service would be it looks it will be just parallel to the top and bottom plate. But it is the middle of these two parallel shits. So that is a shape of the British service. The ark. They're just flat law, large flat sheets, paranoid for the place. Okay, Now, we also each describes location of it. So for a we have the six words. So it's us. Here's where is six worlds located two top zero and we can just tell without even calculating control. It's midway because potential is Lena is 12 is zero, so six is here. But Kirby it ask us what is the petition office for two votes so we can sort of guess that it was two peoples is wass. Six suggestions here is like one centimeter Birds are questions is because quantitative this weekend, so I'll try to be as confident whoever sent him. And it's a quantitative way of doing Sad is, too, say footage equals electric field, times distance and said Electric field we have is so actually, distance footage equals correct real times distance. So the voted JJ, Let's cause this point. A serve wattage of AI is electric field times the distance of eight used zero point says they, but what is the electric group? The electric field is also equal to you, cause fear was interesting. Is that hotel voltage divided by the total distance Thames Ta so now is equal to 12 hours, minus terribles to monetize six centimeter times whatever distance we have actually reading to rearrange it so we can rearrange it into Dia equals we 80 over data feet. So the A is two point Cyril Volts and Jettel is That's the total data. Venus travels Tent City. Whose? Six centimeter? Okay, so now we have one centimeter R. If there's a question is the question does He was clipping digits, so it's actually 6.0. So I also have one point to several centimeter. Just you make sure the number of consistent, significant numbers are consistent. So we have the 2/4 become potential plane is one centimeter from the neck of great last one asked us to find on the potential greedy INTs of the petition, which is just be doing to help feed Linus Toto distance. Delta Bi is 12 with zero votes, distances 6.0 times 10 to selective, too leader, which is $200 for media. So that is a potential greedy int

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