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(a)What is the capacitance of a parallel plate capacitor having plates of area 1.50 $\mathrm{m}^{2}$ that are separated by 0.0200 $\mathrm{mm}$ of neoprene rubber? (b) What charge does it hold when 9.00 $\mathrm{V}$ is applied to it?

a) 4.4$\mu \mathrm{F}$b) $4.0 \times 10^{-5} \mathrm{C}$

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Cornell University

University of Washington

Hope College

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So in this question we are given some information about the capacity. So we are given the area of capacitor and also we are given the distance between the plates and there is one more thing given to us that's the material or the dialectic materialist neoprene rubber. So let's use that information to find out the capacitance capacitance is given us. Absolutely not. Kay Times area divided by the distance between the plate So we know value off Absalon not which is 8.85 times two in power. Negative 12th. So from the book, you can find out the electric constant of neoprene rubber, which is 6.7. From the question we can. You can get the value off area, which is 1.5 on DDE. In the end, we need the distance between the place, which is 0.2 millimeters, which is 10 power nudity. Three because it's millimeters. So let's do this calculation 8.85 times 6.7 divided by 0.2 So that gives me 2965 Zions 10th hour negative nine times 1.5 So this will be 4447 So let's united as four point for five times 10 power negative six that it. So that's the capacitance. Also on the values in the question were just too significant. Digits, actually three significant digits. So we are keeping three significant digits in the answer. That's 4.45 Michael Vetted. Now let's calculate the charge stored on this capacity, so we are given the potential as nine bolt. So charge is equal to CV, and we know the charge. Capacitance is 4.45 might well, verite. So let's write in terms off, parrot on the potential of nine. So that will give us 4.45 times nine is 40. My group alone 40.1 micro poolroom. Yeah. So this much amount of charge will be stored if you apply the potential difference off nine

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