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Q.

A square plate is cut from a disc of radius R such that diagonal of square is diameter of disc. A point charge $q$ is placed on axis of disc at $\frac{R}{\sqrt{2}}$ distance from center. Value of electric flux passing through remaining disc is

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a

$\frac{q}{3 ε_{_{0}}} (2 - \sqrt{3})$

b

$\frac{q}{6 ε_{_{0}}} (2 - \sqrt{3})$

c

$\frac{q}{2 ε_{_{0}}} (2 - \sqrt{3})$

d

$\frac{q}{3 ε_{_{0}}} (2 \sqrt{3} - 2)$

answer is B.

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Detailed Solution

Electric flux= $\frac{q}{2 \in} (1 - \cos θ)$

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A square plate is cut from a disc of radius R such that diagonal of square is diameter of disc. A point charge q is placed on axis of disc at R2 distance from center. Value of electric flux passing through remaining disc is