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How far apart would parallel pennies have to be to make a 1.00 -pF capacitor? Does your answer suggest that you are justified in treating these pennies as infinite sheets? Explain.

2.8 $\mathrm{mm}$

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

University of Michigan - Ann Arbor

University of Sheffield

McMaster University

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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Suppose you want to make a…

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You need to construct a 10…

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Would you place the plates…

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(II) To get an idea how bi…

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To get an idea how big a f…

01:18

You have a $250-\mathrm{nF…

00:39

You have two flat metal pl…

02:17

If you wish to store a lar…

01:19

A parallel-plate capacitor…

Okay, so we're trying to us to me, um, how far apart pennies would have to be if we wanted to make 100 or excuse me a one. PICO Farhad. Ah, capacitor. And so, uh, so we first need to get the area are backing up a little bit. Capacitance is up. Salon, not area divided by distance. Um, and so we're gonna solve for distance. So that's absolutely not a over. See, um, we make my deal slightly better, and I look up the area and then I found out the area waas 1234 two, 2.85 times 10 to the minus for, um And then we want to multiply by Absalon, not 8.85 times 10 to the minus 12. And then the capacitance we're looking for is one PICO Farhad. So I'm gonna go ahead and plug all of this into my calculator. 2.8 front kind of the brightness for eight. Pointy drive. 10 minus 12. All divided by one times 10 to the minus 12. And that gives me 123 So 2.52 millimeters. So if you have them on Lee two millimeters apart, then I mean, compared to the area areas much larger. Well, this one of me in exactly the area. But, um, if they're that close, I think within the I guess if the diameter ah, penny is see much bigger than a millimeter. And winter is 19 millimeter. So I think we're basically justified because we can compare the diameter of 19.5 to the, um, distance between the plates, which is this d which is 2.5. So, yes, we are.

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