Obtain Poisson's equation for electrostatics using the result derived in (a) above. Write down the general solution of Poisson's equation and explain its physical significance for a given charge distribution.
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determine the electrostatic potential in the region above the plane,
Obtain an expression for the magnetic vector potential, due to a circular current loop of radius a carrying steady current I, at a point on its axis at distance x from the centre. Discuss the limiting case for
.
A long straight wire carries a steady current I. The wire is bent to form a circular arc of angle and radius R. Calculate the magnetic field at the centre of curvature and determine its direction using the right-hand rule.
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Starting from Coulomb's law, derive Gauss's law in differential form.
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