The distance between a charge and the source of an electric field changes from 3 mm to 6 mm. as a result of the change, the electric potential energy of the charge is a. divided by 6 b. divided by 2 c. multiplied by 2 d. multiplied by 6

The correct answer is B.

Explanation: Electric potential energy is defined as the potential energy which is needed to move a charge against an electric field.

Mathematically,

= Electric potential energy

k = Universal gravitational constant

= charges of each object

r = distance between two charges.

As, the charges are same in the question, but the distance between them is changing, so the ratio of two electric potential energies are:

Electric potential energy at r = 3mm

and

Ratio of the two:

So, the electric potential energy of the charge is divided by 2

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