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1 A long cylinder, with a radius R, has a uniform charge density ρ. The long cylinder is surrounded by a neutral conducting cylindrical shell with inner radius a and outer radius b, as shown in figure 1. (a) What is the surface charge density on both the inner and outer surface Figure 1. Problem 1. of the conducting shell ( σa and σb, respectively)? (b) What is the electric field E→ for rb ? Consider the case where the cylindrical shell were not neutral, but possessed a net negative charge. (f) What would be the electric field E→ for r

1 A long cylinder, with a radius R, has a uniform charge density ρ. The long cylinder is surrounded by a neutral conducting cylindrical shell with inner radius a and outer radius b, as shown in figure 1. (a) What is the surface charge density on both the inner and outer surface Figure 1. Problem 1. of the conducting shell ( σa and σb, respectively)? (b) What is the electric field E→ for r

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1 A long cylinder, with a radius R , has a uniform charge density ρ . The long cylinder is surrounded by a neutral conducting cylindrical shell with inner radius a and outer radius b , as shown in figure 1. (a) What is the surface charge density on both the inner and outer surface Figure 1. Problem 1. of the conducting shell ( σ a and σ b , respectively)? (b) What is the electric field E → for r < R ? (c) What is the electric field E → for R < r < a ? (d) What is the electric field E → for a < r < b ? (e) What is the electric field E → for r > b ?
Consider the case where the cylindrical shell were not neutral, but possessed a net negative charge. (f) What would be the electric field E → for r < R ? (g) What would be the electric field E → for R < r < a ?

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