Question: Q. 7. A charge $q$ is placed at the centre of a cube of side $l$. What is the electric flux passing through each face of the cube?
[O.D. I, II, III 2012]
Show Answer
Solution:
Ans.
$\phi=q / 6 \varepsilon_{0}$
1
[CBSE Marking Scheme, 2012]
Detailed Answer :
If charge ’ $q$ ’ is placed in centre of cube, electric flux
through the surface of cube will be $6 \phi$, where $\phi$ is flux through each face. As per Gauss’s law,
$$ \begin{align*} 6 \phi & =\frac{q}{\varepsilon_{0}} \ \phi & =\frac{q}{6 \varepsilon_{0}} \tag{1} \end{align*} $$
Short Answer Type Questions-I
(2 marks each)