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Question: Answered & Verified by Expert
In a cuboid of dimension $2 \mathrm{~L} \times 2 \mathrm{~L} \times \mathrm{L}$, a charge $q$ is placed at the centre of the surface ' $S$ ' having area of $4 \mathrm{~L}^2$. The flux through the opposite surface to ' $\mathrm{S}$ ' is given by
PhysicsElectrostaticsJEE Main
Options:
  • A $\frac{\mathrm{q}}{12 \varepsilon_0}$
  • B $\frac{\mathrm{q}}{3 \varepsilon_0}$
  • C $\frac{\mathrm{q}}{2 \varepsilon_0}$
  • D $\frac{q}{6 \varepsilon_0}$
Solution:
1529 Upvotes Verified Answer
The correct answer is: $\frac{q}{6 \varepsilon_0}$
After placing similar cubic at the bottom, we get cube of side $2 \mathrm{~L}$ having change $\mathrm{q}$ at its centre.

From the Gauss's law electric flux through whole


Flux passing through shaded face
$\phi=\frac{\mathrm{q} / \varepsilon_0}{6}=\frac{\mathrm{q}}{6 \varepsilon_0}$

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