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A parallel-plate capacitor is to be constructed by using, as a dielectric, rubber with a dielectric constant of 3.20 and a dielectric strength of 20.0 $\mathrm{MV} / \mathrm{m}$ . The capacitor is to have a capacitance of 1.50 $\mathrm{nF}$ and must be able to withstand a maximum potential difference of 4.00 $\mathrm{kV} .$ What is the minimum area the plates of this capacitor can have?

0.010589$m^{2}$

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

Hope College

University of Sheffield

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 parallel-plate capacitor…

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The dielectric to be used …

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A parallel plate capacitor…

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24.41. The dielectric to b…

So is this question. We have a Paralympic capacitor with a dialectic inside the two plates so this die elected has a constant of K equals super to it also has a stress. So that is a maximum electric filled suck. It goes through the dialectic without it breaking down. And so we won't you know that what is a bit about area of the plate off the capacitor. So we have what is a minimum area. So what that means is that it's the area off this capacitor. Is any smaller sze in that? Then what's that means is there will be a stronger electric field to sense that dialectic could we sent So they're This's a dialectic east side. It's apparent optic capacity salute first see what we have. We know what k is. We know what is so this is the dialectics trances And what did we know? What's a capacitor is? We know what the potential is when off sees and we want to know what isthe thie with a bon area. So I guessed, since we have posted electric field is the voltage surfaced in we can find is we can fight the distance between the two planes isn't if we have a distance. The second sea we have. Look, it is the capacitance of this capacity was a dialectic. So capacitance gets larger by a factor of Kate and seen our itself is absolutely not a time Steve. Great. Because from here, we can express a in terms of C Times, T or Rick eight times. Absolutely not. And d is fi over e seaters. Okay, Absolutely. Okay, so we have off see stoppers and plaster is too just plugging off. So her quantities from's Given Jesus Christian C equals one point five time stint is attempt by Farrant Times is equal to 4,000 votes, and Kay is 3.2. Time's absolute blood is 8.854 times Tim productive 12 on C square over looted taps means you're screwed. And finally times, sir, maximum E is 20 point several times teaser. 6/4 per meter Together. This gives us area of 2.0 times 10 to Z active for, um, this gives us an area stupid to preserve their over terms for your fire. It's the era of 0.0. Once there were six beaters scream okay, so or if we want to convert it into Well, actually, I wanted to stay this way because it's, um, every thing of it is roughly sir. Area of the squares that has 10 still bitter on each side That will be is a big amount area required forthis capacity.

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