The three parallel, ohmic wires shown below are driven at frequency by a common source of EMF The wires have length L, separation b, and radius a where a b L If is the skin depth of the wire material, use Faradays flux rule to show that Assume that I 1 is real and plot the locus of points traced out by I 2 in the complex I 2 plane as 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 21 12 13 1 In 2 In(b a) i(82 a)

Question: The three parallel, ohmic wires shown below are driven at frequency by a common source of EMF. The wires have length L, separation b,

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

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

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.

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

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