Consider an initially passive RC circuit (no inductance)
Chapter 4, Problem 4.6.17(choose chapter or problem)
Consider an initially passive RC circuit (no inductance) with a battery supplying eo volts. (a) If the switch to the battery is closed at time t = a and opened at time t = b > a (and left open thereafter), show that the current in the circuit satisfies the initial value problem 1 Ri' + C i = eoo(t - a) -eoo(t -b); i(O) = O. (b) Solve this problem if R = 100 n, C = 10- 4 F, eo = 100 V, a = 1 (s), and b = 2 (s). Show that i(t) > 0 if 1 < t < 2 and that i (t) < 0 if t > 2.
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