All Problems

Constant Magnetic Field, Magnetics

Problem 3.219

A current I=1.00I=1.00 A circulates in a round thin-wire loop of radius R=100 mm.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 xx =100 mm=100 \mathrm{~mm} from its centre.

Reveal Answer
 3.219. (a) B=μ0I/2R=6.3μT; (b) B=μ0R2I/2(R2+x2)3/2==2.3μT\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}
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