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Gauss Law applied to charged rod and cylinder

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1. the electric field just above the surface of the charged drum of photocopying machine has a magnitude E of 2.3X10^5 N/C. What is the surface charge density on the drum, assuming the drum is conductor?

2.A charge of uniform linear density 2.0nC/m is distributed along a long thin nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius=5.0cm, outer radius=10cm) The net charge on the shell is zero.
(a)What is the magnitude of the electric field 15 cm from the axis of the shell?
(b)What is the surface charge density on the inner and outer surface of the shell?

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This solution set contains the solution to two questions in electricity and magnetism. These questions are very common and students encounter them very often in physics exams and quizzes. I have provided step by step solution to both of them using Gauss's law.

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Correction: An error is fixed. Please read the note at the end of this solution.

1. Use Gauss' law. Imagine an area of A on the surface of a drum. Flux out of this area is = E A.

According to Gauss' law, E A = Q/εo where εo is the permittivity of ...

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