A volumetric charge density of value p =(0.0001-f) µC/m³ exists in a long cylindrical shell with the inner radius p =1.0 cm and the outer radius po = 2.0 cm. Find: a) The electric flux density vector everywhere. b) The electric field strength everywhere. c) What is the electric potential difference between two points at distances 1.5 cm and 4.0 cm from the z-axis?

An infinitely-long, hollow, conducting cylinder carries a uniform current I that flows parallel to its axis and into the paper. Its inner radius is a and its outer radius is b. Derive expressions for the magnetic field for (a) a < r < b and (b) r > b Note: See image for the figure.

There is a point charge at the origin. Find the flux in a plane(displacement flux density) where z = 26 cm.

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