615 A voltage vLt = 5 cos1000 nt V appears across a 50-mH inductor, where n is...

6–15 A voltage vLðtÞ = 5 cosð1000 ntÞ 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 iLð0Þ = 0A. Use MATLAB and symbolic variables to compute an expression for iLðtÞ.On the same axes, plot iLðtÞ versus time for n = 1, 2, 3, 4, and 5, over an appropriate time scale. On another set of axes, plot the amplitude of iLðtÞ 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?