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ECE 201 - Hw 22 - F11

ECE 201 - Hw 22 - F11 - T< t< 2 T 2 Applying different...

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Homework 22 ECE201: Linear Circuit Analysis Due in class: Wednesday, October 19, 2011 1. In the circuit given below, the switch s 0 is initially closed and i L (0 - ) = 0 and V C (0 - ) = 0. The switch opens at t = 0 seconds. The current source is constant i 0 . 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 V out ( t ) for – T < t < 2 T . Use the step function to express V out ( t ) as a single equation. d. Find the current i L ( t ) for – T < t < 2 T . e. Find the current i C ( t ) for – T < t < 2 T . f. Plot both i C ( t ) and i L ( t ) on the same graph for –

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Unformatted text preview: T < t < 2 T . 2. Applying different conditions to the circuit configuration above, the current source follows i in ( t ) = i 0 u (– t ) as the switch is initially open but closes at t = T . Determine the energy stored and power absorbed as functions of time. Use step functions where appropriate. a. Determine the power absorbed by the capacitor for – T < t < 2 T . b. Determine the energy stored in the capacitor for – T < t < 2 T . c. Determine the power absorbed by the inductor for – T < t < 2 T . d. Determine the energy stored in the inductor for – T < t < 2 T . e. Determine the power generated by the current source for – T < t < 2 T ....
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