RL circuits: Find the voltage through the resistors

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Homework Help Overview

The discussion revolves around finding the voltage across resistors in an RL circuit, specifically addressing the behavior of inductors and their impact on voltage and power calculations.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between current, voltage, and resistance in the context of inductors and resistors in parallel. Questions arise regarding the voltage drop across the resistor when the current is zero and the implications for power calculations.

Discussion Status

Participants are actively questioning assumptions about voltage drops and power in the circuit. Some guidance has been offered regarding the behavior of inductors and the conditions under which they can be treated as having zero resistance, but no consensus has been reached on the implications for power supplied by the current source.

Contextual Notes

There is an ongoing discussion about the definitions of resistance and reactance, as well as the implications of zero voltage drop across the inductor on power calculations. Participants are navigating through potential misunderstandings related to the equations used for power and voltage in the circuit.

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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