120 points) 2. A long cylindrical capacitor consists of two coaxial metal cylinders of radius a and c with a

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120 Points 2 A Long Cylindrical Capacitor Consists Of Two Coaxial Metal Cylinders Of Radius A And C With A C You Can 1 (40.49 KiB) Viewed 33 times

120 points) 2. A long cylindrical capacitor consists of two coaxial metal cylinders of radius a and c with a<c. You can assume length of the cylinders to be infinite. The space between them is partially filled (from b to c with a<b<e) is filled with linear dielectric material of susceptibility x. A free charge 2 is placed on inner cylinder, and an opposite charge - 2 is placed on the outer shell. (a) Find E and D fields in the region a<x<b, and b<s<c. Plot El as a function of s. (b) Find the polarization P and all the bound charges in the region between the two conductors. (c) Find the potential difference between the two conductors and capacitance of the capacitor per unit length, [25 points)