First slide

Electrostatic potential

Question

Two conducting spheres of radii r₁ and r₂ are equally charged. The ratio of their potentials is

Easy

A

$r_{1}^{2} / r_{2}^{2}$
B

$r_{2}^{2} / r_{1}^{2}$
C

$r_{1} / r_{2}$
D

$r_{2} / r_{1}$

Solution

$V_{1} = \frac{1}{4 {πε}_{0}} \times \frac{q}{r_{1}} and V_{2} = \frac{1}{4 {πε}_{0}} \times \frac{q}{r_{2}}$
$∴ \frac{V_{1}}{V_{2}} = \frac{I_{2}}{r_{1}}$

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