A very uniformly charged cylinder has radius R and linear change density lambda

Question

A very uniformly charged cylinder has radius R and linear change density lambda Find the cylinder's electric field strength outside the cylinder r, greaterthanorequalto R give your answer as a multiple of lambda/epsilon _0 Express your answer in terms of some or all of the variables R, r, and the constant pi. Find the cylinder's electric field strength outside the cylinder r, lessthanorequalto R give your answer as a multiple of lambda/epsilon _0 Express your answer in terms of some or all of the variables R, r, and the constant pi.

Explanation / Answer

A) at r > R

E = lamda/(2*pi*epsilon*r)

E = (1/(2*pi*r))*(lamda/epsilon)

B) at r < R

E = lamda*r/(2*pi*epsilon*R^2)

= (r/(2*pi*R^2))*(lamda/epsilon)

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