The potential (relative to infinity) at the midpoint of a square is 3.0 v when a point charge of +q is located at one of the corners of the square. what is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of +q?
a) 0 vb) 3.0 vc) 9.0 vd) 12 v

option d) 12.0 V

Explanation:

Data provided in the question:

Potential difference due to a single charge (+Q), E = 3.0 V

Now,

The Electric potential for the system of charges is given as:

given for single charge, E = 3.0 V =                 .......(1)

so thus, for 4 charges, we have

     ...............(2)

from 1 and 2 we have

E = 4 × 3.0 V = 12 V

Hence, option d) 12 V is the correct answer.

see earlier