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Question: Answered & Verified by Expert
A charge $q$ is placed at one corner of a cube. The electric flux through any of the three faces adjacent to the charge is zero. The flux through any one of the other three faces is
PhysicsElectrostaticsWBJEEWBJEE 2015
Options:
  • A $q / 3 \varepsilon_{0}$
  • B $q / 6 \varepsilon_{0}$
  • C $q / 12 \varepsilon_{0}$
  • D $q / 24 \varepsilon_{0}$
Solution:
1782 Upvotes Verified Answer
The correct answer is: $q / 24 \varepsilon_{0}$
Consider the diagram


In above the flux coverage of three face is shown in figure. Which is like a quadrant in any plane. So, flux will be
$$
\phi=\frac{1}{4} \times \frac{q}{6 \varepsilon_{0}}=\frac{q}{24 \varepsilon_{0}}
$$

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