# Problem: A point charge of magnitude q is at the center of a cube with sides of length L.A. What is the electric flux Φ through each of the six faces of the cube?Use ϵ0 for the permittivity of free space.B. What would be the flux Φ1 through a face of the cube if its sides were of length L1?Use ϵ0 for the permittivity of free space.

###### FREE Expert Solution

Flux through an enclosed surface:

$\overline{){\mathbf{\varphi }}{\mathbf{=}}\frac{{\mathbf{q}}_{\mathbf{e}\mathbf{n}\mathbf{c}}}{{\mathbf{\epsilon }}_{\mathbf{0}}}}$

A.

The cube has 6 surfaces.

###### Problem Details

A point charge of magnitude q is at the center of a cube with sides of length L.

A. What is the electric flux Φ through each of the six faces of the cube?

Use ϵ0 for the permittivity of free space.

B. What would be the flux Φ1 through a face of the cube if its sides were of length L1?

Use ϵ0 for the permittivity of free space.

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