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]

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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)



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