Capacity of a spherical conductor in MKS system is

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2. Electric Potential and Capacitance

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The capacity of a spherical conductor in $ MKS$ system is

A

$\frac{R}{{4\pi {\varepsilon _0}}}$

B

$\frac{{4\pi {\varepsilon _0}}}{R}$

C

$4\pi {\varepsilon _0}R$

D

$4\pi {\varepsilon _0}{R^2}$

Solution

(c) The potential is given as, $V=\frac{q}{4 \pi \varepsilon_{0} R}$

The capacitance is given as, $C=\frac{q}{V}$

$=\frac{q}{\frac{q}{4 \pi \varepsilon_{0} R}}$

$=4 \pi \varepsilon_{0} R$

Thus, the capacity of a spherical conductor is $4 \pi \varepsilon_{0} R$

Standard 12

Physics

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