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RL Circuit Analysis (1 of 8) Voltage and Current

185.2K views
•
April 23, 2017
by
Step by Step Science
YouTube video player
RL Circuit Analysis (1 of 8) Voltage and Current

TL;DR

Analyzing the behavior of an RL circuit with relevant calculations and explanations for different time points.

Transcript

okay in today's video we're going to go over a circuit analys for an RL circuit you can see we have an r as our resistor we have an L our inductor so we have an RL circuit and we have a DC voltage source and this is the circuit we're going to be using 12 volts 10K ohms and 100 Henry uh inductor and we're going to look at this circuit at two differe... Read More

Key Insights

  • 😥 RL circuit behavior at different time points analyzed.
  • 💱 In an RL circuit, inductors resist changes in current.
  • ⌛ Voltage distribution changes between resistor and inductor over time.
  • ⚡ Calculations based on Ohm's Law show current and voltage changes.
  • 🧑‍🏭 Inductor acts like a short after long time in the circuit.
  • ⌛ Increase in current from zero to maximum over time.
  • ⌛ Voltage decreases from maximum to zero across the inductor over time.

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Questions & Answers

Q: What is the behavior of an RL circuit immediately after the switch is closed?

Right after the switch is closed, the current through the circuit is zero due to the inductor resisting changes in current. The voltage across the resistor and inductor is also zero, with the 12-volt source voltage all across the inductor.

Q: How does the circuit behave after the switch has been closed for a long time?

After a long time, the current through the circuit reaches 1.2 milliamps, determined by the voltage of the battery divided by the resistor value. The voltage is now all across the resistor, and the inductor acts like a short with zero voltage across it.

Summary & Key Takeaways

  • RL circuit with resistor (R) and inductor (L) analyzed at time 0 seconds and after a long time.

  • At time 0, current is zero, voltage across resistor is zero, and voltage across inductor is 12 volts.

  • After a long time, current becomes 1.2 milliamps, voltage across resistor is 12 volts, and voltage across inductor is zero.


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