Question

Two point charges each of q magnitude kept at the centre of cube O and vertex A. Find the flux through the shaded face

Answer 1

Given:

Two point charges each of q magnitude kept at the centre of cube O and vertex A.

To find:

Flux through the shaded face.

Calculation:

Since the charge q at vertex A is in contact with the shaded face , it will constitute zero flux because the solid angle made by that particular face will be zero.

So, flux through that face will be contributed only by the charge at the centre O.

Let net flux be $\phi$. The flux due to charge at centre will be equally divided among all the 6 faces.

$\boxed{ \bf{ \large{ \phi = \dfrac{q}{6 \epsilon_{0}} }}}$

Refer to the attached diagram.