Electric Charges and Fields - Result Question 41
41. A charge $q$ is located at the centre of a cube. The electric flux through any face is
[2003]
(a) $\frac{q}{6(4 \pi \varepsilon_0)}$
(b) $\frac{2 \pi q}{6(4 \pi \varepsilon_0)}$
(c) $\frac{4 \pi q}{6(4 \pi \varepsilon_0)}$
(d) $\frac{\pi q}{6(4 \pi \varepsilon_0)}$
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Answer:
Correct Answer: 41. (c)
Solution:
- (c) Cube has 6 faces. Flux through any face is given by
$\phi=\frac{q}{6 \varepsilon_0}=\frac{q 4 \pi}{6(4 \pi \varepsilon_0)}$
$ \begin{aligned} & \phi _{\text{total }}=\frac{Q}{\varepsilon_0}, \phi _{\text{face }}=\frac{Q}{6 \varepsilon_0} \\ & \phi _{\text{corner }}=\frac{Q}{8 \varepsilon_0}, \quad \phi _{\text{edge }}=\frac{Q}{12 \varepsilon_0} \end{aligned} $
$ \text{ If charge }(Q) \text{ is kept at the centre of cube } $
