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

The question concerns a square loop in the presence of an infinitely long sinusoidally varying line current.

The complete problem is http://physics.indiana.edu/~berger/p506_fall2008/p507ps11.pdf" [Broken]

2. Relevant equations

The retarded potential.

3. The attempt at a solution

I defined J along the z direction [tex] = I * \delta (\rho') \delta ( \cos (\phi')) / \rho' [/tex]

Then I find the vector potential

[tex] A = {\mu_o \over 4 \pi} \int_{-\infty}^{\infty} {J_{ret} \over |x-x'|} d^3x [/tex]

with the Sin in J having the retarded time of course. But this leaves me with the integral:

[tex] \int_{-\infty}^{\infty} \sin ( w(t - \sqrt (\rho^2 + (z-z')^2))) \over \sqrt(\rho^2+(z-z')^2)[/tex]

Did I go wrong? If not then can someone tell me how to get rid of this.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Retarded potential

**Physics Forums | Science Articles, Homework Help, Discussion**