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Samnolan1031

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## Homework Statement

Below is a diagram of an infinitely long non-conducting rod of radius, R, with a uniform continuous charge distribution. The uniform linear charge density of this line is lamba1. The rod is at the center of an infinitely long, conducting pipe. The linear charge density of the pipe is lamba2.

The distance from the center of the rod to the inner surface of the pipe is a and the distance between the center of the rod to the outer surface of the pipe is b. Assign r as the shortest distance from the center of the rod to an arbitrary point.

a) what is the electric field at 0<r<R

b) what is the electric field at R<r<a?

c) what is the electric field at a<r<b?

d) what is the electric field at r<b?

## Homework Equations

Gauss's Law:[/B]

integral of E*da=qenc/Eo

Density of lamba 1=Q/L

Density of lamba 2=Q/V

## The Attempt at a Solution

a) E*dA=qenc/Eo

E*(2pirL)=lamba1*L/Eo

E=lamba1*L/2pi*r*L*Eo

E=lamba1/2pi*r*Eo

b) the answer would the same as answer a because it is asking for the hollow space.

c) the electric field would be 0 because the pipe is conducting.

d)

E*dA= (E1+E2)/Eo

E= (E1+E2)/Eo * 1/2pir^2

Are my answers correct so far? Thank you!