In: Physics
There is uniformly charged hollow cylinder The cylinder has radius R, length L, and total charge Q. It is centered on the z-axis, with one end at z=−L/2 and the other at z=+L/2.We are interested in finding the electric field generated by the cylinder at a point P located on the z-axis at z=z0.
-Consider a thin ring segment of the cylinder, located at height z and having thickness dz. Enter an expression for the charge dQ of the ring?
-What does the integral equal?
-There are three length parameters in the problem: (z0,L,Rg). Write an approximation for the total field E⃗→ vec E valid when R,L << z0. Will need the do the integral in order to find
-What about when R<<L,z0
-What is the direction of the electric field?