Question

The capacitance of a spherical conductor is $1pF$ . Calculate the radius of conductor .

Answer 1

Capacitance of spherical capacitor :
$\left(C\right)=1pF=1\times {10}^{-12}F$
Radius ($R$) = ?
Capacitance of spherical condutor $\left(C\right)=4\pi {\epsilon }_{0}R$
$R=\frac{C}{4\pi c_0}=9\times {10}^9\times 1\times {10}^{-12}$
$R=9\times {10}^{-3}m=9mm$