First slide

Electric flux

Question

A point charge +Q is positioned at the centre of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is

Moderate

A

$\frac{Q}{16 ε_{0}}$
B

$\frac{Q}{4 ε_{0}}$
C

$\frac{Q}{8 ε_{0}}$
D

None of these

Solution

$Flux going in pyramid = \frac{Q}{2 ε_{0}}$
Which is divided equally among all 4 faces
$∴ Flux through one face = \frac{Q}{2 \times 4 ε_{0}} = \frac{Q}{8 ε_{0}}$

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