The Switching Hour

The questions below are due on Monday March 17, 2025; 10:00:00 PM.

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1) Circuit A

In the circuit below, the switch is left open for all $t < 0$ , such that the circuit has reached equilibrium by $t = 0_{-}$ . The switch is then closed at $t = 0$ .

What are the values of $i_{a} (t)$ and $v_{a} (t)$ at $t = 0_{-}$ ?
Find analytical expressions for $i_{a} (t)$ and $v_{a} (t)$ for $t > 0$ .
Sketch a plot of $i_{a} (t)$ and $v_{a} (t)$ for $t > 0$ , labeling all key values and time constants.

2) Circuit B

In the circuit below, the switch is instead left closed for all $t < 0$ such that the circuit has reached equilibrium by $t = 0_{-}$ . The switch is then opened at $t = 0$ .

What are the values of $i_{b} (t)$ and $v_{b} (t)$ at $t = 0_{-}$ ?
Find analytical expressions for $i_{b} (t)$ and $v_{b} (t)$ for $t > 0$ .
Sketch a plot of $i_{b} (t)$ and $v_{b} (t)$ for $t > 0$ , labeling all key values and time constants.

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