Question

Four positive charges of magnitude q are arranged at the corners of a square, as shown above. At the center C of the square, the potential due to one charge alone is V_o and the electric field due to one charge alone has magnitude E_o. Which of the following correctly gives the electric potential and the magnitude of the electric field at the center of the square due to all four charges?

	Electric Potential	Electric Field
(A)	Zero	Zero
(B)	Zero	2Eo
(C)	2Vo	4Eo
(D)	4Vo	Zero
(E)	4Vo	2Eo

Answer 1

The correct option is: (D)

Explanation:

E is a vector so all the individual E field vectors from the four charges will cancel. V is a scalar and will add since they are all positive charges.