# Physics

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Two conducting thin hollow cylinders are co-aligned. The inner cylinder has a radius R1 , the outer has a radius R2 . Calculate the electric potential difference V(R2)-V(R1) between the two cylinders. The inner cylinder has a surface charge density of σa=-σ , where σ>0 , and the outer surface has a surface charge density of σb=3σ ,

The cylinders are much much longer than R1 . Thus, you may ignore end effects and neglect the thickness of the cylinders.

a. What is the electric potential difference between the outer cylinder and the inner cylinder V(R2)-V(R1) ? Express your answer in terms of R1 , R2 ,σ , and epsilon_0 .

b. What is the magnitude of the electric field outside the cylinders, r>R2 ?

Express your answer in terms of r , ,R1,R2 ,σ and epsilon_0.

c. What is the electric potential difference between a point at a distance r=2R2 from the symmetry axis and the outer cylinder V(2R2)-V(R2)?
Express your answer in terms of R1 ,R2 ,σ and epsilon_0 .

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