First slide

Electrostatic potential

Question

Two metal spheres of radii R₁ and R₂ are charged to the same potential. The ratio of charges on the spheres is

Easy

A

$\sqrt{R_{1}} : \sqrt{R_{2}}$
B

$R_{1} : R_{2}$
C

$R_{1}^{2} : R_{2}^{2}$
D

$R_{1}^{3} : R_{2}^{3}$

Solution

Spheres have same potential
$i.e. k \frac{Q_{1}}{R_{1}} = k \frac{Q_{2}}{R_{2}} \Rightarrow \frac{Q_{1}}{Q_{2}} = \frac{R_{1}}{R_{2}}$

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