Problem 3.219

A current \(I=1.00\) A circulates in a round thin-wire loop of radius \(R=100 \mathrm{~mm} .\) Find the magnetic induction (a) at the centre of the loop; (b) at the point lying on the axis of the loop at a distance \(x\) \(=100 \mathrm{~mm}\) from its centre.

Reveal Answer

\begin{aligned} &\text { 3.219. (a) } B=\mu_{0} I / 2 R=6.3 \mu \mathrm{T} ; \text { (b) } B=\mu_{0} R^{2} I / 2\left(R^{2}+x^{2}\right)^{3 / 2}=\\ &=2.3 \mu \mathrm{T} \end{aligned}

Constant Magnetic Field, Magnetics