Question

The capacitance of a spherical conductor with radius $1m$ is:

• A. $9\times 10^{-9}F$
• B. $1\mu F$
• C. $2.5\times 10^{-10}F$
• D. $1\times 10^{-6}F$

Answer 1

Answer: (C)

The capacitance of spherical conductor is given by
$C=4\pi {\epsilon }_{0}r$
Here $:r=1m$
$4\pi {\epsilon }_0=\frac{1}{9\times 10^9}$
$C=\frac{1}{4\times 10^9}\times 1$
$C=2.5\times 10^{-10}F$