Question

A point charge of 17.7 muC is located at the centre of a cube of side 0.03m. Find the electric flux through each face of the cube.

Answer 1

Given ,

Charge = 17.7 uC or 17.7 × (10)^-6

Side of the cube = 0.03 m

We know that , the electric flux passing through the each face of the cube is given by

$\large \mathtt{\fbox{ Φ_{e} = \frac{1}{6} \{ \frac{q}{ e_{o}} \}}}$

Thus ,

$\sf \hookrightarrow Φ_{e} = \frac{1}{6} \times \frac{ \cancel{17.7 }\times {(10)}^{ - 6} }{ \cancel{8.85} \times {(10)}^{ - 12} } \\ \\ \sf \hookrightarrow Φ_{e} = \frac{2}{6} \times {(10)}^{6} \\ \\ \sf \hookrightarrow Φ_{e} =0.33 \times {(10)}^{6} \\ \\ \sf \hookrightarrow Φ_{e} =3.3 \times {(10)}^{5}$

Hence , the electric flux passing through each face of the cube is 3.3 × (10)^5

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