- #1
Niles
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Homework Statement
Hi
I am looking at four parallel wires of finite length L, whose currents run in the directions shown in the attached figure. There is no gradient along the wire-axis, so from Maxwell's equation
[tex]
\frac{dB_x}{dx} = -\frac{dB_y}{dy} \equiv \tilde B.
[/tex]
In order to find an expression for the gradient [itex]\tilde B[/itex] given some current I, I need to use Biot-Savarts law. I think I need to make a binomial expansion for small displacements from the center, but I am not quite sure how to do this with the Biot-Savart law. I would really appreciate a hint.
Niles.