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  4. Capacitance (in F) of a spherical conductor having radius 1 m, is :

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Q. Capacitance (in F) of a spherical conductor having radius $1 m$, is :

AIEEEAIEEE 2002Electrostatic Potential and Capacitance

Solution:

Capacitance of spherical conductor $=4 \pi \varepsilon_{0} a$
where, $a$ is radius of conductor.
Therefore,
$C =\frac{1}{9 \times 10^{9}} \times 1$
$=\frac{1}{9} \times 10^{-9}$
$=0.11 \times 10^{-9} F$
$=1.1 \times 10^{-10} F$