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## Homework Statement

An infinitely long, cylindrical, conducting shell of inner radius b and outer radius c has a total charge Q. A line of uniform charge distribution Λ is placed along the axis of the shell. Using Gauss's Law and justifying each step, determine. A) The Electric Field for r>a, B)The Electric Field for a<r<b, C) Find the Electric Field for b<r<c D) What is the charge at the inner surface ( r = b ) of the conducting hollow shell? E) What is the charge at the outer surface (r=c) of the conducting hollow sphere? F) Find the Electric Field for r > c

2. Homework Equations

2. Homework Equations

∫EdA = q

_{inside}/ε

_{∅}

Λ = Q/L

Q = λL

A = 2πrL

3. The Attempt at a Solution

3. The Attempt at a Solution

So far I have gotten part B, C and D correct however I'm having trouble on parts A, E and F.

For part B i was able to get, E = Q/2πrLε

_{∅}, For Part C I know that the field inside of the conducting shell will be 0. And for part D I realize that the charge at r = b which already has a charge of Q inside will have a -Q charge in order for the total charge inside the conducting shell to be zero. For part A I got E = Λ/2πrε

_{∅}. Part E I thought that the charge with r = c would be Q - Q = q

_{inside}and for part F I substituted this value in to get E = Q-Q/2πrLε

_{∅}. Please Help?

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