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Question

A positive charge of 1 nC is placed at (0, 0, 0.2) where all dimensions are in metres. Consider the x – y plane to be a conducting ground plane. Take \({ \in _0} = 8.85 \times {10^{ - 12}}\) F/M. The z component of the E field at (0, 0, 0.1) is closest to

The correct answer is

-999.09 V/m

Replace the grounded plane by an image charge −1 nC at z = −0.2 m. At z = 0.1 m both real and image fields point downwards. Thus \(E_z=-\frac{10^{-9}}{4\pi(8.85\times10^{-12})}\left(\frac1{0.1^2}+\frac1{0.3^2}\right)\approx-999.1\,V/m\), closest to −999.09 V/m.

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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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