Consider an RLC circuit in series with a battery, with L = 1 H, R = 60 2, C = 10-3 F, and eo = 10 V. (a) Suppose that the switch is alternately closed and opened at times t = 0, 1/10, 27/10, .... Show that i(t) satisfies the initial value problem i" + 60i' + 1000i = 10 E(-1)"5(t - – **); пл 10 n=0 i (0) = i'(0) = 0. (b) Solve this problem to show that if пл (n + 1)a 10 10 then еЗля +3л — 1 301 i(t) = sin 10r. еЗя — 1 Construct a figure showing the graph of this current func- tion.

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