Question

A thin metallic spherical shell of radius 40.6 cm has a total charge of 5.35 mu C uniformly distributed on it. At the center of the shell is placed a point charge of 3.83 mu C. What is the electric field at a distance of 16.4 cm from the center of the spherical shell?

Answer 1

Draw the Gaussian surface of 16.4cm from center it enclosed only $3.83\mu C$ charge

By Gause law, we have

$\oint E.ds=\frac{Q}{\epsilon _0}\textup{, where Q is charge enclosed within the Gaussian surfface}$   

$E=\frac{Q}{A\epsilon _0}$

$E=1.61\times 10^6N/C$