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Question: There is a solid sphere of radius ‘R’ having uniformly distributed charge. What is the relation betw...

There is a solid sphere of radius ‘R’ having uniformly distributed charge. What is the relation between electric field ‘E’ (inside the sphere) and radius of sphere ‘R’ is

A

E∝R−2E \propto R^{- 2}

B

E∝R−1E \propto R^{- 1}

C

E∝1R3E \propto \frac{1}{R^{3}}

D

E∝R2E \propto R^{2}

Answer

E∝1R3E \propto \frac{1}{R^{3}}

Explanation

Solution

E=14πε0.QrR3E = \frac{1}{4\pi\varepsilon_{0}}.\frac{Qr}{R^{3}} ⇒ E∝1R3E \propto \frac{1}{R^{3}}