Four equal point charges each are placed in the plane at ,

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Four equal point charges

Q

each are placed in the

xy

plane at

(0, 2)

(4, 2)

(4, -2)

and

(0, -2)

. The work required to put a fifth charge

Q

at the origin of the coordinate system will be: (1)

\frac{Q^2}{4\pi\epsilon_0} \left( 1 + \frac{1}{\sqrt{3}} \right)

(2)

\frac{Q^2}{4\pi\epsilon_0} \left( 1 + \frac{1}{\sqrt{5}} \right)

(3)

\frac{Q^2}{2\sqrt{2}\pi\epsilon_0}

(4)

\frac{Q^2}{4\pi\epsilon_0}