Circuit: A switch in a circuit at position A moves to position B

Electrical engineering

Question: ( 50 points) The switch in the following circuit is at position A for a long time, at time 0 , it moves to

position B. The voltage sources have fixed voltages VA=15V and VB=5V, with R1=22kΩ,R2=

330Ω,L=400mH and C=0.1μF.

a. (5 points) Draw the circuit right before the switch moved from position A to position B and

find the capacitor voltage, clearly showing what the inductor and capacitor look like at that

time. Then draw the circuit right after the switch moved from position A to position B and

find the capacitor voltage.

b. (15 points) Find the ODE for this circuit for t≥0, with the capacitor voltage as the variable.

c. (15 points) Draw the circuit that corresponds to the natural response for t≥0. Find ζand

ω0 and comment on whether the circuit is overdamped, critically damped, or underdamped.

Then find the natural response.

d. (10 points) Find the forced response for t≥0, and then find and sketch the fully

determined complete response vC(t) for t≥0.

e. (5 points) Determine the value of R2 in order to create the critically damped case.

student submitted image, transcription available

https://studycreek.com/

Continue to order Get a quote

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.