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## Homework Statement

On the XY there lies a conducting wire-rectangle with sides parallel to the axis.

The current is given and constant.

What is the magnitude of the magnetic field along an axis parallel to the z axis, going through the intersection of the rectangle's diagonals?

## Homework Equations

[tex] \vec { dB } =\frac { I }{ c{ \left| \vec { r } \right| }^{ 3 } } \vec { dl } \times \vec { r } [/tex]

## The Attempt at a Solution

Due to symmetry, I can expect the field along this axis to be in the z direction. I can integrate along just one of each pair of the circuit's sides and double the result.

What I'm having trouble with is the cross product in Biot-Savart's Law - it seems to me that the angle [itex] { \theta }_{ \vec { dl } ,\vec { r } } [/itex]changes throughout the integral. If this is true then it seems the calculation of the field is not too easy..

I'd just like to make sure I'm correct before I get into it - does [itex] { \theta }_{ \vec { dl } ,\vec { r } } [/itex]change throughout the integral?

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