The Switching Hour

The questions below are due on Monday March 17, 2025; 10:00:00 PM.
 
You are not logged in.

Please Log In for full access to the web site.
Note that this link will take you to an external site (https://shimmer.mit.edu) to authenticate, and then you will be redirected back to this page.

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.


 
Upload your answers as a single PDF file, including both your answer and your work. Please do not include any identifying information in your submission so that we can grade the submissions anonymously.

 No file selected