(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

We have a non uniform line charge density [tex]P_{l}[/tex] = [tex]\rho_{l}[/tex] cos[tex]\phi[/tex]

It is a spiral line where 0 [tex]\leq[/tex] [tex]\phi[/tex] [tex]\leq[/tex] 4 [tex]\pi[/tex]

It is on the x-y plane with z=0.

r varies: r ( [tex]\phi[/tex] ) = [tex]\phi[/tex] * [tex]r_{0}[/tex] + a

We need to find the Potential and Electric Field at the origin.

2. Relevant equations

V = (KQ/r)

E = (KQ)/ r[tex]^{2}[/tex]

E = -[tex]\nabla[/tex]V

3. The attempt at a solution

The east way would be to find the Potential and then to find the Electric Field by using the relationship between E and the gradient of V.

I think this problem wouldn't be as tough if r was constant.

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# Non-uniform line charge density with r not constant

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