Concentric metallic hollow spheres of radii and hold charges and respectively

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

Problem

Concentric metallic hollow spheres of radii

R

and

4R

hold charges

Q_1

and

Q_2

respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference

V(R) - V(4R)

is: (1)

\frac{3Q_1}{16\pi\epsilon_0 R}

(2)

\frac{3Q_2}{4\pi\epsilon_0 R}

(3)

\frac{Q_2}{4\pi\epsilon_0 R}

(4)

\frac{3Q_1}{4\pi\epsilon_0 R}