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In a cuboid of dimension 2L×2L×L , a charge q is placed at the centre of the surface S having area of 4L2 . The flux through the opposite surface to S is given by

Question

In a cuboid of dimension 2L×2L×L , a charge q is placed at the centre of the surface S having area of 4L2 . The flux through the opposite surface to S is given by

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Solution

The flux through any closed surface surrounding a charge q is given by Gauss's law, which states:

Φ = q/ε₀

where Φ is the electric flux, q is the total charge enclosed by the surface, and ε₀ is the permittivity of free space.

In this case, the charge q is placed at the center of the surface S, which means it is not enclosed by the surface. Therefore, the flux through the opposite surface to S is zero.

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