Homework 22 ECE201 Linear Circuit Analysis Due in class Wednesday October 19 2011 1 In the circuit given below the switch s0 is initially closed and iL 0 0 and VC 0 0 The switch opens at t 0 seconds The current source is constant i0 Determine the following symbolically a Determine the frequency of oscillation radians second and f 1 second Hz in the circuit for t 0 Express the frequencies in terms of L and C b Determine the period of oscillation seconds in the circuit for t 0 c Find the voltage Vout t for T t 2T Use the step function to express Vout t as a single equation d Find the current iL t for T t 2T e Find the current iC t for T t 2T f Plot both iC t and iL t on the same graph for T t 2T 2 Using the same circuit as above the switch opens at t 0 seconds Analyze the energy stored and power absorbed symbolically as follows a Determine the power absorbed by the capacitor for T t 2T b Determine the energy stored in the capacitor for T t 2T c Determine the power absorbed by the inductor for T t 2T d Determine the energy stored in the inductor for T t 2T e Determine the power generated by the current source for T t 2T
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