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Electromagnetic Induction. Maxwells Equations

Problem 3.331

Two thin concentric wires shaped as circles with radii a and bb lie in the same plane. Allowing for a≪b,a \ll b, find: (a) their mutual inductance; (b) the magnetic flux through the surface enclosed by the outside wire, when the inside wire carries a current II.

Reveal Answer
 (a) L12≈1/2μ0πa2/b; (b) Φ21=1/2μ0πa2I/b . \text { (a) } L_{12} \approx 1 / 2 \mu_{0} \pi a^{2} / b ; \text { (b) } \Phi_{21}=1 / 2 \mu_{0} \pi a^{2} I / b \text { . }
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