A very thin charged rod of length L lies on the z-axis (x=0, y=0) centered on the origin(z=0) and extending in the range – L/2 < z < L/2. The charge density on the rod is notconstant, but varies linearly with the distance from the center of the rod. The number ofcharges per unit length 2 = dq/dz is given by 1(z) = cz, where c is a constant. (Since 2is an odd function of z, the total charge on the rod sums to zero.)(a) Calculate the electrostatic potential V(0,0, z) at a point on the z-axis at a height zabove the center of the rod for values of z which are above the top end of therod, z > L/2, by integrating the formula [convert dq to the specific case of thelinear charge density]1V (†)dq(7')4πεο(b) Calculate the electric field vector E (0,0, z) at the same point as in part (a) byusing the definition of the electric field in terms of the potential.

Given a wire placed symmetrically on z-axis having charge density λ=cz. And length L. It…

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