- #1

maherelharake

- 261

- 0

## Homework Statement

We are given a ring of charge in the xy plane with a line density of λ(φ)=λ

_{0}cos(φ). Here φ is measured as a rotation from the +x axis.

First, calculate the electric potential along the z axis. Then, calculate the electric field along the z axis.

Hint: The problem may become simpler if you examine it in Cartesian coordinates.

## Homework Equations

## The Attempt at a Solution

I have a few ideas on this problem, but I am not sure if they are correct. For the first part, I am trying to use the equation: V=k Integral(lamda*dl/r). I tried to plug the given value of lamda into this equation for V, and I tried to integrate from 0 to 2Pi. Would the value of 'r' be sqrt(x

^{2}+y

^{2})? Also, could you replace dl with dz since it is asking for the value along the z axis? Am I even thinking correctly up this point? Thanks.