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

There is an aXb rectangular area in the same plane as a wire with current I. The wire is parallel to side b, and a distance d away. Compute the flux through the rectangular area.

2. Relevant equations

[tex]\Phi[/tex]=[tex]\int[/tex]B*dA

B=([tex]\mu[/tex]I)/(2[tex]\pi[/tex]r)

cylindrical coordinates... rdrd[tex]\theta[/tex]dz

3. The attempt at a solution

([tex]\mu[/tex]I)/(2[tex]\pi)[/tex][tex]\int[/tex][tex]\int[/tex][tex]\int[/tex](1/r)(rdrd[tex]\theta[/tex]dz)

dr is from d to d+a

d[tex]\theta[/tex] is from 0 to 2[tex]\pi[/tex]

dz is from 0 to b

The solution to this ends up having natural logs in it, and to do that I would have to drop r, but I don't feel like that is right. Could someone please help point me in the right direction on setting up this integral.

Thank you.

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

Join Physics Forums Today!

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

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

# Homework Help: Compute flux through rectangular area

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