Current and voltage with inductors and capacitors

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SUMMARY

The discussion focuses on solving for voltage v(t) and current i(t) in a circuit involving inductors and capacitors. Participants emphasize the importance of correctly calculating the signs in the R||C configuration. A suggested approach includes determining the current from the source to find the current through the inductor, which will then allow for calculating the voltage across the inductor. This method is essential for progressing in circuit analysis.

PREREQUISITES
  • Understanding of R||C circuit calculations
  • Knowledge of inductors and capacitors in AC circuits
  • Familiarity with circuit analysis techniques
  • Proficiency in solving differential equations related to circuit behavior
NEXT STEPS
  • Study the principles of R||C circuit analysis
  • Learn how to calculate current through inductors in AC circuits
  • Explore methods for determining voltage across inductors
  • Investigate differential equations used in circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing AC circuits with inductors and capacitors.

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Homework Statement


I am given the following circuit:
upload_2016-11-20_15-27-7.png

and asked to solve for v(t) and i(t)

Homework Equations

The Attempt at a Solution


upload_2016-11-20_15-27-50.png


If this is right, I don't know where to go from here.
 
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Check the signs in your R||C calculation.

One place you can go from there is to find the current from the source, hence the current through the inductor. You could then determine the voltage across the inductor due to that current. Then you're on your own to use that knowledge to proceed further.
 

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