Question

A conductor in the shape of a square of edge length $l=0.4m$ carries a current $i=10.0A.$. If this conductor is formed into a single circular turn and carries the same current, what is the value of the magnetic field at the centre?

Answer 1

Circumference, $2\pi R=4\left(0.4\right)$

$2R=\frac{1.6}{\pi }m$

$B=\frac{{\mu }_{o}i}{2R}$

$=\frac{(4\pi \times {10}^{-7})\left(10\right)}{\left(1.6/\pi \right)}$

$=24.7\times {10}^{-6}T$ into the page