ECE 10C: Circuits, Devices, & Systems
University of California Santa Barbara
Spring 2025
Prof. Mahnoosh Alizadeh
ECE 10C
Homework 2
Due: Friday 4/25 at 11:59 pm
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ECE 10C: Circuits, Devices, & Systems
University of California Santa Barbara
Spring 2025
Prof. Mahnoosh Alizadeh
Problem 1
The switch has been closed for all t < 0. At t = 0, the switch is opened. Calculate the
capacitor voltage v(t) for t > 0. You can use any results from lecture.
Figure 1
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ECE 10C: Circuits, Devices, & Systems
University of California Santa Barbara
Spring 2025
Prof. Mahnoosh Alizadeh
Problem 2
Find the value of R that leads to a critically damped response (you can check that it does
not matter what the output is chosen to be).
Figure 2
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ECE 10C: Circuits, Devices, & Systems
University of California Santa Barbara
Spring 2025
Prof. Mahnoosh Alizadeh
Problem 3
The switch in the circuit in Fig. 1 has been open for t < 0. The switch is closed at t = 0
and remains closed for all t > 0. Find v(t) for t > 0.
Figure 3
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ECE 10C: Circuits, Devices, & Systems
University of California Santa Barbara
Spring 2025
Prof. Mahnoosh Alizadeh
Problem 4
In the circuit below, vC (0) = 1V and iL (0) = 0A.
1) Intuitively sketch iL (t) for t > 0 (clearly explain each step you took).
2) Find the total energy dissipated by the circuit during [0, ∞).
Figure 4
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