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Question bank: Electricity: Electric Potential Energy

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Question 1:

Medium

When two electric charges of the same sign are placed close to each other, how does the electric potential energy behave?
Electricity: Electric Potential Energy
Question 2:

Medium

Explain what electric potential energy is and how it can be calculated in a system composed of two electric charges. Then, use an example to demonstrate the calculation of electric potential energy in a practical situation.
Electricity: Electric Potential Energy
Question 3:

Very Hard

A particle of charge q = 2.0×10^-6 C is placed at rest at position A, which is 4.0 cm away from a small positively charged conducting sphere with charge Q = 1.6×10^-6 C. The particle then moves, due to the electric force between it and the sphere, to position B, which is 2.0 cm away from the sphere. Disregard interactions with other charges. Considering the electric potential energy as U = k|qQ|/r, where k is the electrostatic constant of the medium in which the charges are immersed, and r is the distance between the charges: a) Calculate the electric potential energy of the charge-sphere system at position A. b) Determine the work done by the electric force to move the particle from position A to position B. c) Based on energy conservation, calculate the velocity of the particle when it reaches position B. Consider k = 9.0×10^9 N.m^2/C^2.
Electricity: Electric Potential Energy
Question 4:

Easy

The electric field is the region around an electric charge where other charges feel the influence of that charge. What happens when two charges of opposite signs are placed close to each other?
Electricity: Electric Potential Energy
Question 5:

Medium

An electric charge of 5 µC is fixed in a position in space. A student has a point charge of 2 µC and wants to place it near the fixed charge. Determine the resulting electric potential energy of this interaction when the second charge is at a distance of 3 cm from the fixed charge. Consider the electrostatic constant (k) equal to 9.0 x 10^9 N.m²/C².
Electricity: Electric Potential Energy
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