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Electromagnetic Induction. Maxwells Equations

Problem 3.346

Find the interaction energy of two loops carrying currents \(I_{1}\) and \(I_{2}\) if both loops are shaped as circles of radii \(a\) and \(b\), with \(a \ll b\). The loops' centres are located at the same point and their planes form an angle \(\theta\) between them.

Reveal Answer
W12=μ0πa22bI1I2cos⁡θW_{12}=\frac{\mu_{0} \pi a^{2}}{2 b} I_{1} I_{2} \cos \theta
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