A uniformly charged solid cylinder of radius a and length L carries a total charge Q. Assuming the observation point lies at a distance x from the centre of the cylinder along its axis and that , derive an expression for the electric field on the axis of the cylinder. Discuss the limiting case when
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An infinite plane conducting surface is held at zero potential. A point charge q is placed at a distance d above the plane. Using the method of images,
Starting from Coulomb's law, derive Gauss's law in differential form.
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.
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calculate the force experienced by the charge q.