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HW3_EG

# HW3_EG - MAE 3780 MECHATRONICS FALL 2009 H O M E WO R K 3...

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MAE 3780 M ECHATRONICS FALL 2009 1 HOMEWORK 3 DUE: 9/21/21 PROBLEMS: 1. In the circuit shown in Figure 1, assume that initially switch S 1 is open, switch S 2 is closed, and that neither the capacitor nor the inductor is storing any energy. At t = 0, switch S 1 is closed, and at t = 5s, switch S 2 is opened. Find an expression for V C (t) for all t 0. (Note: for the purposes of the homework, opening switch S 2 while there is current through the inductor will cause the inductor current to drop to 0 instantaneously. In real life, this would cause an electrical arc across the switch, which can be potentially dangerous and damaging to the rest of the circuit.) Figure 1 2. Assume that the circuit shown in Figure 2 is underdamped and that there is initially no energy stored in the inductor or capacitor. After the switch is closed at t = 0, the capacitor voltage V C reaches an initial peak value of 70 V at t = 5 π /3 μ s and a second peak value of 53.2 V at t = 5 π μ s.

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HW3_EG - MAE 3780 MECHATRONICS FALL 2009 H O M E WO R K 3...

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