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Question: Answered & Verified by Expert
A positive charge $Q$ is situated at the centre of a cube. The electric flux through any face of the cube is (in SI units)
PhysicsElectrostaticsWBJEEWBJEE 2017
Options:
  • A $\frac{Q}{6 \varepsilon_{0}}$
  • B $4 \pi Q$
  • C $\frac{Q}{4 \pi \varepsilon_{0}}$
  • D $\frac{Q}{6 \pi \varepsilon_{0}}$
Solution:
1720 Upvotes Verified Answer
The correct answer is: $\frac{Q}{6 \varepsilon_{0}}$
The positive charge $Q$ is situated at the centre of a cube

According to Gauss theorem, the flux from any closed surface
$$
\phi_{E}=\frac{Q}{\varepsilon_{0}}
$$
Cube has 6 faces, so electric flux from any face $\phi_{z}=\frac{Q}{6 \varepsilon_{0}}$

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