Two conducting hollow sphere of radius R and 3R are found to have Q charge on outer surface when bot

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2. Electric Potential and Capacitance

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Two conducting hollow sphere of radius $R$ and $3R$ are found to have $Q$ charge on outer surface when both are connected with a long wire and $q'$ charge is kept at the centre of bigger sphere. Then which one is true

A

$q' = 2Q$

B

$q' = 3Q$

C

$q' = 4Q$

D

$q' = 6Q$

Solution

Equipotential surface

$\frac{\mathrm{k} \mathrm{Q}}{\mathrm{R}}=\frac{\mathrm{k} \mathrm{Q}}{3 \mathrm{R}}+\frac{\mathrm{k} \mathrm{q}^{\prime}}{3 \mathrm{R}}$

$\frac{2 \mathrm{k} \mathrm{Q}}{3 \mathrm{R}}=\frac{\mathrm{kq}^{\prime}}{3 \mathrm{R}}$

$q^{\prime}=2 Q$

Standard 12

Physics

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