RL circuits: Find the voltage through the resistors

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SUMMARY

This discussion focuses on calculating voltage and power in RL circuits, specifically addressing the voltage across resistors and inductors. The key equations used are V=IR and P=IV, with the conclusion that the voltage drop across an inductor is zero when the current is steady. Participants clarify that since the inductor has no resistance in a steady state, the voltage across it is zero, leading to the understanding that power supplied by the current source is also zero under these conditions.

PREREQUISITES
  • Understanding of Ohm's Law (V=IR)
  • Knowledge of power calculations (P=IV)
  • Familiarity with RL circuit behavior
  • Concept of inductive reactance (Xl=wL)
NEXT STEPS
  • Study the behavior of RL circuits in steady state versus transient state.
  • Learn about the concept of inductive reactance and its calculation.
  • Explore the implications of zero voltage drop across inductors in circuit analysis.
  • Investigate power calculations in AC circuits involving inductors and resistors.
USEFUL FOR

Electrical engineering students, circuit designers, and anyone studying RL circuits and their voltage and power characteristics.

Marcin H
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Homework Statement


Find the voltage through the resistors.

Homework Equations


V=IR
P=IV

The Attempt at a Solution


Am I doing these correctly? Can I find the voltage across the inductor the way I did it?
Screen Shot 2016-02-14 at 5.19.03 PM.png
 
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Marcin H said:

Homework Statement


Find the voltage through the resistors.

Homework Equations


V=IR
P=IV

The Attempt at a Solution


Am I doing these correctly? Can I find the voltage across the inductor the way I did it?
View attachment 95842
You state that the current through the resistor is zero. Then what is the voltage drop across the resistor?
 
SammyS said:
You state that the current through the resistor is zero. Then what is the voltage drop across the resistor?
0 volts right? Did I flip those 2 things? I thought inductors after a long time act like wires with no resistance. Is that not true?
 
Marcin H said:
0 volts right? Did I flip those 2 things? I thought inductors after a long time act like wires with no resistance. Is that not true?
Yes. zero.

The resistor is in parallel with the inductor, thus it has the same voltage drop. (Can also arrive at this because the inductor has zero resistance.)
 
SammyS said:
Yes. zero.

The resistor is in parallel with the inductor, thus it has the same voltage drop. (Can also arrive at this because the inductor has zero resistance.)
Ahhh. Ok that makes sense. But then how can we find how much power the current source would supply. P = IV = I^2R = V^2/R. Would we have to discharge the inductor and then use V=IR = (1A)(1000ohms)=1000V?
 
Marcin H said:
Ahhh. Ok that makes sense. But then how can we find how much power the current source would supply. P = IV = I^2R = V^2/R. Would we have to discharge the inductor and then use V=IR = (1A)(1000ohms)=1000V?
How do get 1000 ?

Any way you calculate this, you multiply by either the resistance of the inductor, or the voltage drop or some other zero.
 
SammyS said:
How do get 1000 ?
Woops. I used the wrong equation. I meant to use P = I^2R = (1A)^2*(1000ohms) = 1000V. But is that wrong?
Any way you calculate this, you multiply by either the resistance of the inductor, or the voltage drop or some other zero.
How would I get the resistance of the inductor? Are you talking about the reactance? Xl=wL? And isn't the voltage drop across the inductor 0? I'm not sure how that helps us find the power that the current source is supplying.
 
Marcin H said:
Woops. I used the wrong equation. I meant to use P = I^2R = (1A)^2*(1000ohms) = 1000V. But is that wrong?

How would I get the resistance of the inductor? Are you talking about the reactance? Xl=wL? And isn't the voltage drop across the inductor 0? I'm not sure how that helps us find the power that the current source is supplying.
Yes, voltage drop across the inductor is indeed zero. Therefore, V⋅I = ?
 
SammyS said:
Yes, voltage drop across the inductor is indeed zero. Therefore, V⋅I = ?
Power is 0? How can the power be 0? Does that mean the current source is just off?
 
  • #10
Marcin H said:
Power is 0? How can the power be 0? Does that mean the current source is just off?
no.

simply that to maintain current needs no voltage if there is no resistance.
 

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