RL Circuit

  • #1
26
1

Homework Statement


Find i and v_x
9f1bd6faa0ef539d5436d32024687883.png

Given answer:
d225a823c3560be5848ac8fba2392677.png



2. Homework Equations


3. The Attempt at a Solution
I have attempted the problem in two different manners, and I consistently reach a different answer. I would appreciate if someone would be willing to take the time to attempt the problem and confirm whether the provided solution is correct.

My answer:
i(t) = 5* e^(-5.6*t)
I have not attempted to solve for v_x yet, because I want to verify the first part of the answer.

Method 1: Apply KVL directly to the circuit
53ab3acec9b406125ac631548d64a84c.png


Method 2: Find the equivalent resistance at the inductor terminals with a test voltage source.
I am not showing the work for this method, but I did it this way as well and received the same answer as my first attempt.

If my attempt is wrong, I really would appreciate some insight into where I went wrong.
 

Answers and Replies

  • #2
gneill
Mentor
20,875
2,838
I think your result looks better than theirs! Considering that they used the unit V for both voltage and current in their answer, I suspect that they have an editing issue with the answer key.
 
  • Like
Likes SuperCat
  • #3
26
1
Good point, I completely managed to overlook that! I just couldn't find this listed in the errata for my book so I blindly trusted it.
 

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