# A Conducting Shell around a Conducting Rod

1. Jan 30, 2008

### electricman

1. The problem statement, all variables and given/known data

An infinitely long conducting cylindrical rod with a positive charge "lambda" per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of "-2 lambda" and radius r1.

a) What is E(r) , the radial component of the electric field between the rod and cylindrical shell as a function of the distance r from the axis of the cylindrical rod?

Express your answer in terms of "lambda", r, and "epsilon" , the permittivity of free space.

b) What is "fi - inner" , the surface charge density (charge per unit area) on the inner surface of the conducting shell?

c) What is "fi - outer" , the surface charge density on the outside of the conducting shell? (Recall from the problem statement that the conducting shell has a total charge per unit length given by "-2 lambda" .)

d) What is the radial component of the electric field, E(r), outside the shell?

I have no idea how to solve this

Anyone that knows?

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2. Sep 27, 2009