Game, Set Match!

The questions below are due on Monday November 25, 2024; 10:00:00 PM.
 
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1) Part 1

Consider the circuit shown below. The switch is at position "a" for a long time before it switches to position "b" at t=0.

The following graph shows both v_{\rm C} and i_{\rm L} plotted as functions of time, but the graph does not indicate which is which:

Answer the following questions about this circuit:

  1. Which curve above represents v_{\rm C}, and which represents i_{\rm L}? How do you know?

  2. What is the strength V of the voltage source in the circuit?

  3. What are the values of L and C (including units)?

2) Part 2

Shown below is an underdamped second-order parallel-resonator network with three labeled currents:

And here are four current waveforms displayed as functions of time. Three of the waveforms correspond to the labeled resonator currents.

Answer the following questions about this circuit:

  1. Assuming R = 4\Omega, estimate C and L.

  2. Which of the waveforms in the graph corresponds to each of the currents i_{\rm L}, i_{\rm R}, and i_{\rm C}, respectively?


 
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