Charge Is Distributed Uniformly Throughout a Large Insulating Cylinder of Radius

question 17

Essay

Charge is distributed uniformly throughout a large insulating cylinder of radius R.The charge per unit length in the cylindrical volume is λ.
(a)Use Gauss's law to find the magnitude of the electric field at a distance r from the central axis of the cylinder for r < R.Your answer should be in terms of r,R,λ,ε₀ ,and π.
(b)Check the reasonableness of your answer by evaluating it at the surface of the cylinder.

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