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The electric field strength between two parallel conducting plates separated by 4.00 $\mathrm{cm}$ is $7.50 \times 10^{4} \mathrm{V} / \mathrm{m}$ . (a) What is the potential difference between the plates? (b) The plate with the lowest potential is taken to be at zero volts. What is the potential 1.00 $\mathrm{cm}$ from that plate (and 3.00 $\mathrm{cm}$ from the other)?

(a) $\Delta V=3.00 \times 10^{3} \mathrm{V}$(b) $V=7.50 \times 10^{2} \mathrm{V}$

Physics 102 Electricity and Magnetism

Chapter 19

Electric Potential and Electric Field

Electric Charge and Electric Field

Gauss's Law

Electric Potential

Rutgers, The State University of New Jersey

University of Washington

University of Winnipeg

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All right, so in this problem, we have, ah, two parallel plate model. So these air to participate and, uh, we know the electric field inside his uniform and ea quo 7.5 times 10 to the fourth voted meter. And we also know the separation between the two places D weird equal four centimeters. So, in part A, we want to determine the potential difference between two plates. Suppose this one's higher. This one's lower potential. So because we know the electric field inside his uniform, so we can simply use that'll be equal e time sti to determine the potential difference. Okay, And this is the deed is easy, so you can see the veterans that three times turned to the third lots and in part B. So we're interested in the location right here. So the the distance from this location to the above plate is one centimeter and the distance from this one to the blow ones. Ah, three centimeters. So I want to find out the potential at the, uh at this point, Suppose this wine's a zero bolts. So because ah, left field inside his uniforms, then the potential distribution is also uniform Okay. There. You can easily use V equal. Ah, that'll be where Delta V is the one that we found over here, which is the total potential difference between two plates. Times won over full to attend. Ah, potential at this point. Okay, so this gives you 750 bolts, okay?

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