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Unformatted text preview: Sample Problem Topic: RLC Circuits/Response Statement of Problem: Given the circuit shown in the figure below Assume the switch has been closed for a long time. At time t=0, the switch opens. Find v (t) for t ≥ 0. Solution Before we can solve for the parameters of this circuit, we need to consider the state of the circuit just before and just after the switch flips. Since we know that the switch has been closed for a long time, there is no current flowing in the branch of the capacitor. We can model it as an open circuit with some voltage v . Since no current is flowing toward the right branch, we can calculate the total amount of current in the circuit. The 30 Ω and 10 Ω resistor (on the right) are combined in series. These two resistors are in parallel with the 10 Ω resistor on the left. This can be reduced down into a resistor of 8 Ω. Thus, the total current can be found as: I(0) = 1 ¡ = 100 4+8+8 = 100 20 = 5 ? We want to find the initial voltage across the capacitor. To do so, we look at the total current (5A) We want to find the initial voltage across the capacitor....
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- Spring '05
- Electrical Engineering, Resistor, Electrical impedance, Series and parallel circuits