Question

If no. of electric lines of force emerging of a closed surface is 1000, then the charge enclosed by the surface is ?

Answer 1

Answer:

$Q=8.85\times 10^{-9}\ C$

Explanation:

It is given that,

Number of electric field lines of force $\phi=1000$  

The number of electric lines of force passing through any surface is called the electric flux. According to Gauss's law :

$\phi=\dfrac{Q}{\epsilon_0}$

Cross multiplying above equation. We get :

$Q=\phi\times \epsilon_0$

$\epsilon_0$ is the permitivitty, $\epsilon_0=8.85\times 10^{-12}$

$Q=1000\times 8.85\times 10^{-12}$

$Q=8.85\times 10^{-9}\ C$

So, the charge enclosed by the surface is $8.85\times 10^{-9}\ C$.