Question

what is the capacitence(in F)of a spherical conductor of radius 2m?​

Answer 1

$\mathtt{\huge{ \fbox{Solution :)}}}$

Given ,

• Radius of spherical conductor (R) = 2 m

We know that ,

The capacitance of an isolated spherical conductor is given by

$\large \mathtt{ \fbox{C = 4\pi e_{o} R}}$

Thus ,

$\sf \hookrightarrow C = 4 \times \frac{22}{7} \times 8.8 \times {(10)}^{ - 12} \times 2 \\ \\ \sf \hookrightarrow C =88 \times 1.2 \times 2 \times {(10)}^{ - 12} \\ \\ \sf \hookrightarrow C =88 \times 2.4 \times {(10)}^{ - 12} \\ \\ \sf \hookrightarrow C =211.2 \times {(10)}^{ - 12} \\ \\ \sf \hookrightarrow C =2.112 \times {(10)}^{ - 10} \: \: farad$

Hence , the capacitance of spherical conductor is 2.112 × (10)^-10 farad