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# solutions2 - PHYSICS 222 Section 3 EXAM 2 Solutions 1[15pt...

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PHYSICS 222 Section 3 EXAM 2 Solutions 1. [15pt] A thin cylindrical shell of radius cm is surrounded by a second cylindrical shell of radius 9.0 cm , as shown in the figure. Both cylinders are 5.0 m long. The inner one carries a total charge C and the outer one carries a total charge C . For points far from the ends of the cylinders, determine the electric field at a radial distance from the central axis in the following three cases, using Gauss’s Law. Use the sign convention that a field directed outward is positive. For full credit, you must clearly show (once) how Gauss’s Law is used to justify any equations used. (a) [5pt] Find E at 3.5 cm . Since is inside the inner cylinder, and no charge is inside, (b) [5pt] Find E at R = 7.0 cm . Apply Gauss’s Law to a cylinder of radius . The electric flux is through the sides is with . The charge inside is with , and Gauss’s Law gives , so (c) [5pt] Find E at R = 14.0 cm . The same equation applies, but with net charge now The radius is now twice what it was before , with in the previous answer.

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