Concept explainers
a. Charge q1is distance r from a positive point charge Q. Charge q2= q1/3 is distance 2r from Q. What is the ratio U1/U2 of their potential energies due to their interactions with Q? b. Charge q1is distance s from the negative plate of a parallel-plate capacitor. Charge q2= q1/3 is distance 2s from the negative plate. What is the ratio U1/U2 of their potential energies?
a. Ratio of potential energy
b. Ratio of potential energy
Answer to Problem 1CQ
Solution:
a. Ratio of the potential energy is
b. Ratio of the potential energy is
Explanation of Solution
Given:
(a)
Charge
Charge
(b)
Charge
Charge
Formula used:
The potential energy of the charge particle is given by the formula
Here,
Calculation:
(a)
Consider the diagram of the charge particles
Figure.1
The potential energy of the charge particle
The potential energy of the charge particle
Plugging the values in the above equation
Calculate the ratio of the potential energy by dividing Eq. (1) by Eq. (2)
Hence the ration of their potential energy is
(b)
Consider the diagram of the charge particles
Figure.1
The potential energy of the charge particle
Plugging the values in the above equation
The potential energy of the charge particle
Plugging the values in the above equation
Calculate the ratio of the potential energy by dividing Eq. (3) by Eq. (4)
Hence the ration of their potential energy is
Conclusion:
a. Ratio of the potential energy is
b. Ratio of the potential energy is
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