Question

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

• A. $9\times {10}^{9}F$
• B. $1\mu f$
• C. $1.1\times {10}^{-10}F$
• D. $1\times {10}^{-8}F$

Answer 1

Answer: (C)

$1.1\times {10}^{-10}F$

The capacitance of spherical conductor is given by
$C=4\pi {\epsilon }_{0}r$
Here, $r=1m,$ $4\pi {\epsilon }_0=\frac{1}{9\times {10}^9}$
$\therefore C=\frac{1}{9\times {10}^9}\times 1$
$C=1.1\times {10}^{-10}F$