Problem 1:

Submit this problem on Canvas as Assignment 1.  If you used an AI as a Socratic tutor, submit a copy of your session leading to your solution and reflect on your session.  If you did not need any help or worked with another student, explain your reasoning, do not just write down formulas. 

In the below circuit, the switch has been closed for a long time before t = 0.  The switch then opens at t = 0, and then closes at t = 100 μs.  Find and plot v_out(t).

Problem 2:

In the below circuit, the switch has been open for a long time before t = 0.  The switch is then closed at t = 0.  Find the voltage across the capacitor at t = 60 ms.

Problem 3:

(a)  The circuit shown below is at steady state.  The input currents are i₁(t) =  10 cos(25 t) mA  and i₃(t) =  10 cos(25t + 135^o) mA.  Determine the voltage v₂(t).

(b)  The circuit shown below is at steady state.  The inputs to this circuit are the current source current i₁(t) =  0.12 cos(100 t + 45^o) A and the voltage source v₂(t) =  24 cos(100 t -  60^o) V.  Determine the current i₂(t).

Problem 4:

Let V_in = Re(V₀exp(iωt)).  Derive an expression for V_out/V_in as a function of frequency for the resonator circuit below and determine the resonant frequency and the phase shift of V_out at resonance from this expression.