Question

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A charge ‘q’ is placed at the centre of a cube of side l. What is the electric flux passing through two opposite faces of the cube? (All India)
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Answer 1

Answer:

As the charge is symmetrically positioned on each face of the square, the electrical flux flowing through each face is proportional to the ${\dfrac{1}{6}^{th}}$ of the total flux. Hence, the electric flux passing through each face to the cube is $\dfrac{q}{{6{\varepsilon _ \circ }}}$.

Answer 2

Answer:

$\textbf{Flux Through each face} = \frac{q}{6e_{0}}$

$∴\sf \colorbox{god} {Flux thorough two opposite faces }$

$⇒ \frac{q}{6Ɛ_{0}} + \frac{q}{_{0}} = \frac{2q}{6Ɛ_{0}} = \frac{q}{3Ɛ_{0}}$

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