How to approach this RLC circuit question?

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SUMMARY

The discussion focuses on solving a problem involving an RLC circuit with a switch that alternates between two configurations: an RL circuit when the switch is at point A and an RLC circuit when at point B. Participants emphasize the importance of calculating the voltage at nodes A and B and understanding the time-dependent behavior of the circuit. Key steps include determining the waveforms for each circuit configuration and analyzing the current in the inductor and voltage in the capacitor at specific time intervals. Additionally, the discussion notes that energy loss during the switch transition can be ignored for this analysis.

PREREQUISITES
  • Understanding of RLC circuit theory
  • Familiarity with time-domain analysis of electrical circuits
  • Knowledge of waveform characteristics in RL and RLC circuits
  • Basic principles of energy conservation in electrical systems
NEXT STEPS
  • Study the behavior of RL circuits under transient conditions
  • Learn about RLC circuit response to switching events
  • Explore techniques for analyzing circuit waveforms over time
  • Investigate energy loss mechanisms in circuit switching
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing transient responses in RLC circuits will benefit from this discussion.

maks4
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Homework Statement


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^^I'm sort of lost as to how to approach this question. Should i just find the voltage at node A? Then at B? But what confuses me the most are these time values we need to take into account.

So what would be the best way to approach this question?
Thanks.
 
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When the switch is at A, its an RL ckt, and when its at B you have a RLC ckt. Calculate the waveforms for each of those. For the various switch points in time, find where (in time) it is in those waveforms and scale the levels accordingly. for example, the second time the switch switches to B, you know how much current is in the inductor and how much voltage is in the cap, the ratio of those tells you at what point in time of the waveform of that RLC ckt they are. And of course, don't forget the cap holds its charge when the switch is at A.

EDIT: Practically speaking, flipping that switch will waste a little energy, too. But I'm almost sure you are suppose to ignore that here.
 
Last edited:
^^Thanks fleem! That puts things into perspective for me, we usually do these in tutorials so i'll see how it goes there.

And yeah I'm also assuming that we don't consider the small waste in energy when the switch is changed.
 

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