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
∫EdA = qinside/ε∅
Λ = Q/L
Q = λL
A = 2πrL
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 = qinside and for part F I substituted this value in to get E = Q-Q/2πrLε∅. Please Help?