Find the force per unit length on the line charge

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Reference no: EM13960872

A line charge with linear charge density T is placed parallel to, and a distance R away from, the axis of a conducting cylinder of radius b held at a fixed voltage such that the potential vanishes at infinity. Find:

(a) the magnitude and position of the image charge(s);

(b) the potential at any point (expressed in polar coordinates with the origin at the axis of the cylinder and the direction from the origin to the line charge as the x axis), including the asymptotic form far from the cylinder;

(c) the induced surface-charge density, and plot is as a function of angle for R/b = 2, 4 in units of T/2pib;

(d) the force per unit length on the line charge

Reference no: EM13960872

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