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Question: A charge q is distributed uniformly on a ring of radius r. A sphere of equal radius r is constructed...

A charge q is distributed uniformly on a ring of radius r. A sphere of equal radius r is constructed with its centre at the periphery of the ring (see Fig.). The electric flux through the surface of the sphere is –

A

qε0\frac{q}{\varepsilon_{0}}

B

2qε0\frac{2q}{\varepsilon_{0}}

C

q2ε0\frac{q}{2\varepsilon_{0}}

D

q3ε0\frac{q}{3\varepsilon_{0}}

Answer

q3ε0\frac{q}{3\varepsilon_{0}}

Explanation

Solution

Angle at O, is 1200 \ 13\frac { 1 } { 3 } part of ring is inside the sphere

\Σ\Sigmaq inside the sphere =