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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)
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a. Charge q1 is distance r from a positive point charge Q.

Chapter 25, Problem 25.23

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QUESTION:

a. Charge \(q_1\) is distance r from a positive point charge Q. Charge \(q_2\) = \(q_1/3\) is distance 2r from Q. What is the ratio \(U_1/U_2\) of their potential energies due to their interactions with Q?

b. Charge \(q_1\) is distance s from the negative plate of a parallel-plate capacitor. Charge \(q_2\) = \(q_1/3\) is distance 2s from the negative plate. What is the ratio \(U_1/U_2\) of their potential energies?

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QUESTION:

a. Charge \(q_1\) is distance r from a positive point charge Q. Charge \(q_2\) = \(q_1/3\) is distance 2r from Q. What is the ratio \(U_1/U_2\) of their potential energies due to their interactions with Q?

b. Charge \(q_1\) is distance s from the negative plate of a parallel-plate capacitor. Charge \(q_2\) = \(q_1/3\) is distance 2s from the negative plate. What is the ratio \(U_1/U_2\) of their potential energies?

ANSWER:

Step 1 of 3

Given data:

(a)

Charge $$q_1$$ is at a distance of “r” from a positive point charge Q,

$$q_2=\frac{q_1}{3}$$ is at a distance of “2r” from the positive charge Q.

Similarly,

(b)

Charge $$q_1$$ is at a distance of “s” from the negative plate of parallel plate capacitor, and charge $$q_2$$ is at a distance of “2s” from the negative plate of the capacitor.

 

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