Two different charges, q1 and q2, are placed at two different locations, one cha

Question

Two different charges, q1 and q2, are placed at two different locations, one charge at each location. The locations have the same electric potential V. Do the charges have the same electric potential energy?

a. No, because the electric potential energy EPE at a given location depends on the charge placed at that location as well as the electric potential V.

b. No, because the electric potential V at a given location depends on the charge placed at that location, whereas the electric potential energy EPE does not.    

c. Yes. If the electric potentials at the two locations are the same, the electric potential energies are also the same, regardless of the type (+ or ) and magnitude of the charges placed at these locations.

d. Yes, because electric potential and electric potential energy are just different names for the same concept.

Explanation / Answer

Electric Potential Energy depends on Electric Potential and the amount of charge you bring to the point, so the statement that correclty states the explanation is -

(a)
No, because the electric potential energy EPE at a given location depends on the charge placed at that location as well as the electric potential V.

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