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

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.

Best,

Niles.

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

Dismiss Notice

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: Magnetic field from four parallel wires

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