The three parallel, ohmic wires shown below are driven at frequency by a common source of

The three parallel, ohmic wires shown below are driven at frequency ω by a common source of EMF. The wires have length L, separation b, and radius a where a << b << L. If δ is the skin depth of the wire material, use Faraday’s flux rule to show that

Assume that I₁ is real and plot the locus of points traced out by I₂ in the complex I₂ plane as ω varies from 0 to ∞. Use the high-frequency results to rationalize the skin effect for time-harmonic current flow in a thin metal slab with dimensions L × 2b.

Transcribed Image Text:

21 || 12 13 1 - In 2 In(b/a)+i(82/a²)*