Three identical spheres

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Three identical spheres, each having a charge

q

and radius

R

, are kept in such a way that each touches the other two. The magnitude of the electric force on any sphere due to the other two is (1)

\frac{1}{4\pi\epsilon_0} \left(\frac{q}{R}\right)^2

(2)

\frac{\sqrt{3}}{4\pi\epsilon_0} \left(\frac{q}{R}\right)^2

(3)

\frac{\sqrt{3}}{16\pi\epsilon_0} \left(\frac{q}{R}\right)^2

(4)

\frac{\sqrt{5}}{16\pi\epsilon_0} \left(\frac{q}{R}\right)^2