# Magnetic field at center of rectangular loop

1. Dec 9, 2005

### stunner5000pt

Find the magnetic field at the center of a rectangular loop with sides 2a and 2b.

well ok due to the sides with length 2a
$$B_{A} = \frac{\mu_{0} i}{2 \pi B} \frac{A}{\sqrt{\frac{A^2}{4} + B^2}}$$

and due to 2B sides
$$B_{B} = \frac{\mu_{0} i}{2 \pi B} \frac{B}{\sqrt{\frac{B^2}{4} + A^2}}$$