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## Homework Statement

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.

## Homework 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

## 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.