A line charge is placed parallel to, and a distance R away from, the axis of a conducting cylinder of radius b that is held at 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) c) the induced surface charge density, and plot it as a function of angle for R/b 2 and 4 in units of N2TTB d) the force on the line charge per unit length
A line charge is placed parallel to, and a distance R away from, the axis of a conducting cylinder of radius b that is held at 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) c) the induced surface charge density, and plot it as a function of angle for R/b 2 and 4 in units of N2TTB d) the force on the line charge per unit length
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Transcribed Image Text:A line charge is placed parallel to, and a distance R away from, the axis of a conducting cylinder of radius b that is held at 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)
c) the induced surface charge density, and plot it as a function of angle for R/b
2 and 4 in units of N2TTB
d) the force on the line charge per unit length
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