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King Fahd University of Petroleum & Minerals Electrical Engineering Department EE205: Electric Circuits II Dr. Ali Muqaibel HW2 : Natural & Step Response of RLC Circuits Problem 1: The current in the circuit in the figure is known to be i (t ) = B 1e −80t cos 60t + B 2e −80t sin 60t , t ≥ 0. The capacitor has a value of 500μF; the initial value of the current is zero, and the initial voltage on the capacitor is 1V. Find the values of R, L, B1, and B2. Problem 2: The shown circuit has two switches which moves together (one opens and the other closes at the same time t=0). Assume the circuit has been in the same condition for long time before switching at t=0. Find vo(t) for t ≥ 0 Problem 3: For the circuit shown in the Figure, the input voltage vg jumps instantaneously from 0 to 25 mV a) For the circuit shown in the figure. If vo1(0)= 5 V and vo(0)= 8 V, show that the equation for vo(t) for 0 ≤ t < t sat is given by v o (t ) = t 2 − 10t + 8 V b) How long is it before the circuit saturates? show details Good Luck, Dr. Ali Muqaibel