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An infinitely long cylinder (radius R, centered along the z-axis) carries a surface charge distribution σ(s...

An infinitely long cylinder (radius R, centered along the z-axis) carries a surface charge distribution σ(s = R,φ) = σ0 (4sinφ + 6cos2φ) . Using electricity and magnetism

a. Find expressions for the potential and electric field at arbitrary points inside and outside the cylinder. b. Find the force on a test charge 3q at the point (x = 3R, y = R, z = 4R), assuming the test charge is too small to affect the potentials / fields found in (a)

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please check all the calculations once.

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