A line charge of infinite length lies along the z axis and carries a uniform linear charge density of pe C/m. A perfectly conducting cylindrical shell, whose axis is the z axis, surrounds the line charge. The cylinder (of radius b), is at ground potential. Under these conditions, the potential function inside the cylinder (p < b) is given by V(p) = k – pe In(p) where k is a constant. (a) Find k in terms of given or known parameters. (b) Find the electric field strength, E, forp < b. (c) Find the electric field strength, E, for p > b. (d) Find the stored energy in the electric field per unit length in the z direction within the volume defined by p > a, where a < b.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.