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1. Consider an infinitely long cylinder of radius b surrounded by a grounded conductor. An electrostatic potential is arranged by the placement of a very thin set of electrodes at radius a such that at radius a (a< b), we have D = +V for 0< <7/2 and for t < < 3t/2 D = -V for t/2 <

1. Consider an infinitely long cylinder of radius b surrounded by a grounded conductor. An electrostatic potential is arranged by the placement of a very thin set of electrodes at radius a such that at radius a (a< b), we have D = +V for 0< <7/2 and for t < < 3t/2 D = -V for t/2 <

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1. Consider an infinitely long cylinder of radius b surrounded by a grounded conductor. An electrostatic potential is arranged by the placement of a very thin set of electrodes at radius a such that at radius a (a< b), we have D = +V for 0< < t/2 and for t < p < 3t/2 D = -V for t/2 <<n and for 3r/2 < < 2n a. Find an expression for the potential everywhere inside the cylinder b. Find the surface charge distributions on the surfaces at radii a and b.
Transcribed Image Text:1. Consider an infinitely long cylinder of radius b surrounded by a grounded conductor. An electrostatic potential is arranged by the placement of a very thin set of electrodes at radius a such that at radius a (a< b), we have D = +V for 0< < t/2 and for t < p < 3t/2 D = -V for t/2 <<n and for 3r/2 < < 2n a. Find an expression for the potential everywhere inside the cylinder b. Find the surface charge distributions on the surfaces at radii a and b.
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