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Standard XII

Physics

Electric Field Due to a Sphere and Thin Shell

A metal ball ...

Question

A metal ball of radius $R$ has a charge $Q$ and capacitance $C$ .The charge is changed from $q$ to $2 q$ . The capacitance changes to

\frac{C}{2}

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2 C

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4 C

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C

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Solution

The correct option is D $C$
A metal ball behaves as an isolated spherical capacitor.

The capacitance of a spherical capacitor (isolated) is given by
$C = 4 π ε_{0} R$

Thus, $C$ only depends on the radius of the shell . So, $C$ remains unchanged upon changing the charge.

Hence, option (c) is the correct answer.

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Electric Field Due to a Sphere and Thin Shell

Standard XII Physics

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A metal ball of radius R has a charge Q and capacitance C.The charge is changed from q to 2q. The capacitance changes to

The correct option is D CA metal ball behaves as an isolated spherical capacitor. The capacitance of a spherical capacitor (isolated) is given by C=4πε0R Thus, C only depends on the radius of the shell . So, C remains unchanged upon changing the charge. Hence, option (c) is the correct answer.

A metal ball of radius $R$ has a charge $Q$ and capacitance $C$ .The charge is changed from $q$ to $2 q$ . The capacitance changes to