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Question

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed

The correct answer is

uniformly over the outer surface of the sphere

In electrostatic equilibrium the conductor’s interior electric field is zero, so excess charge resides on its outer surface. For an isolated sphere with no external field, spherical symmetry makes the macroscopic surface-charge density uniform. Thus the second choice is correct.

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Important Questions from Electrostatics

  1. A uniform ring charge of radius $R$ carries a total charge $Q$. Which one of the following options correctly quantifies the magnitude of the force on a point charge of strength $q$ kept at the center of the ring? 

    ($\epsilon$ is the permittivity of the medium)

  2. For a uniform line charge of 8 nc/m lying along the z axis, the electric field at a radius of 3 m from the uniform line is given by :

  3. The current in a coil of inductance 5 H changes linearly from 10 A to 2 A in t seconds. If the induced emf is 40 V, what is the time t?

  4. What are the materials which exhibit electric polarization even in the absence of an applied electrical field?

  5. What is the relative permittivity of slate dielectric?

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