What type of circuit element does the inductor behave

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A voltage v_L(t) = 5 cos (1000nt) V appears across a 50-mH inductor, where n is a positive integer that controls the frequency of the input signal. The amplitude of the input signal is constant. Assume i_L(0) = 0 A. Use MATLAB and symbolic variables to compute an expression for i_L(t).

On the same axes, plot i_L(t) versus time for n = 1, 2, 3, 4, and 5, over an appropriate time scale.

On another set of axes, plot the amplitude of i_L(t) versus the coefficient n.

As n approaches infinity, what happens to the amplitude of the current? What type of circuit element does the inductor behave like as n approaches infinity?

Reference no: EM131295352

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