Electric Flux through Cube Corner – Rankers Physics
Topic: Electrostatics
Subtopic: Gauss's Law

Electric Flux through Cube Corner

The total electric flux through a cube when a charge 8q is placed at one corner of the cube is :
\( \varepsilon_0 q \)
\( \frac{\varepsilon_0}{q} \)
\( \frac{q}{4\pi\varepsilon_0} \)
\( \frac{q}{\varepsilon_0} \)

Solution:

A charge placed at the corner of a cube is shared equally by 8 adjacent cubes. The flux through the single cube is therefore \( \Phi = \frac{Q_{total}}{8 \varepsilon_0} = \frac{8q}{8 \varepsilon_0} = \frac{q}{\varepsilon_0} \).

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