Question: The voltage across an inductor and the current through the inductor are related by vL = L i / t. Suppose that i (t)

The voltage across an inductor and the current through the inductor are related by vL = L Δ i /Δ t. Suppose that i (t) = I sin w t.
(a) Write an expression for vL (t)
(b) From your expression for vL (t), show that the reactance of the inductor is XL = wL. (c) Sketch graphs of i (t) and vL (t) on the same axes. What is the phase difference? Which one leads?

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