RL Circuit Current: Over Time, Initial I(0)=1

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SUMMARY

The discussion focuses on analyzing an RL circuit with parameters L=5 H, R=200 Ω, and a time-dependent voltage source Vin=100t. The initial current is given as I(0)=1 A. Participants are tasked with finding the current through the inductor, sketching it, and determining the voltage across the inductor, while also addressing concerns about the expected function type for the current. The need for understanding the differential equation governing the circuit is emphasized as crucial for accurate analysis.

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  • Understanding of RL circuit theory
  • Familiarity with differential equations
  • Knowledge of circuit analysis techniques
  • Ability to sketch current and voltage waveforms
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  • Study the differential equation for RL circuits
  • Learn how to derive the current function in RL circuits
  • Explore voltage across inductors in time-varying circuits
  • Practice sketching current and voltage waveforms for RL circuits
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Electrical engineering students, circuit designers, and anyone involved in analyzing RL circuits and their transient responses.

Boba Fet
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An RL circuit has L=5, R = 200, Vin =100t. Suppose the initial current through the circuit is I(0)=1.

a) find the current through the inductor. b) sketch it. Find the voltage through the Inductor. c) Sketch it

I feel like it know how to do this but I am getting a linear function which doesn't seem right to me
 
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What sort of function are you expecting and why? (Please show your working.)
Have you checked LR circuits coursework, notes, or theory anywhere?
ie - do you know the differential equation the circuit is supposed to satisfy?
 
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