A positively charged insulating cylinder (shown in yellow in Figure 3) with radius R has uniform volume charge density ρ0. The cylinder is placed at the centre of a negatively-charged insulating cylinder (shown in grey) with inner radius 2R, outer radius 3R, and volume charge density − ρ0/2 . a) Use Gauss’ Law to find the electric field E outside the cylinders at r > 3R. Express your answer in terms of the parameters defined in the problem. b) What is the electric potential on the

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A positively charged insulating cylinder (shown in yellow in Figure 3) with radius R has uniform volume charge density ρ0. The cylinder is placed at the centre of a negatively-charged insulating cylinder (shown in grey) with inner radius 2R, outer radius 3R, and volume charge density − ρ0/2 .

a) Use Gauss’ Law to find the electric field E outside the cylinders at r > 3R. Express your answer in terms of the parameters defined in the problem.

b) What is the electric potential on the surface at r = 3R, considering V = 0 at ∞. 

2R
3R
(R
Transcribed Image Text:2R 3R (R
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