Determining the voltage polarity of the independent current source

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Discussion Overview

The discussion revolves around determining the voltage polarity of an independent current source in a circuit. Participants explore the implications of voltage polarity on power calculations and the behavior of active versus passive components.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants suggest adding up the voltages around the loop to determine the voltage polarity of the current source.
  • One participant reports calculating a voltage of -5 V and questions how to identify the positive and negative ends of the current source's voltage.
  • Another participant argues that the polarity of power does not matter, using examples of resistors to illustrate their point.
  • Some participants assert that the current source's terminal voltage indicates whether it is delivering or receiving power, referencing real-world examples like a car battery.
  • There is a contention regarding the applicability of ideal components in circuit analysis, with some suggesting that ideal models can lead to unrealistic predictions.
  • Participants discuss the relationship between voltage, current, and power, noting that while power can have polarity, this relationship can vary with passive components like resistors, inductors, and capacitors.

Areas of Agreement / Disagreement

Participants express differing views on the significance of voltage polarity in power calculations, with no clear consensus reached. Some argue that polarity is crucial, while others maintain that it does not affect power dissipation in certain contexts.

Contextual Notes

Participants highlight limitations in using ideal components for circuit analysis, noting that real-world circuits do not behave like ideal models and can lead to contradictions.

fight_club_alum
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TL;DR
How can I determine the voltage polarity of the current source in the circuit attached?
I am so sorry if I am posting this in the wrong forum; it is just not a homework problem, and I can't find the right place - it's more of a study help question.
Screen Shot 2019-09-30 at 8.51.27 PM.jpg
 
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fight_club_alum said:
Summary: How can I determine the voltage polarity of the current source in the circuit attached?
Just add up the voltages around the loop and make it zero by assigning the needed voltage to the current source.
 
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phinds said:
Just add up the voltages around the loop and make it zero by assigning the needed voltage to the current source.
Thank you so much for replying
I did so and got -5 V (with that number how can I determine the positive and negative ends of the current source's voltage?)
 
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fight_club_alum said:
Thank you so much for replying
I did so and got -5 V (with that number how can I determine the positive and negative ends of the current source's voltage?)

It would make a difference if I am calculating, for instance, the power developed and dissipated
 
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fight_club_alum said:
Thank you so much for replying
I did so and got -5 V (with that number how can I determine the positive and negative ends of the current source's voltage?)
You just did.
 
fight_club_alum said:
It would make a difference if I am calculating, for instance, the power developed and dissipated
No, it would not. Why is that true?
 
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phinds said:
No, it would not. Why is that true?
if I am going through the positive terminal of a component, I will write P = +V I
if I am going through the negative terminal of a component, I will write P = - V I
Isn't that correct?
 
fight_club_alum said:
if I am going through the positive terminal of a component, I will write P = +V I
if I am going through the negative terminal of a component, I will write P = - V I
Isn't that correct?
No. Power does not have a polarity. Think about it this way: if you have a single 10 ohm resistor drawn vertically and you connect +10 volts to the top and ground the bottom, the power dissipation is 10 watts. If, on the other hand, you connect +10 volts to the bottom and ground the top, the power dissipation will be 10 watts.

@fight_club_alum another way to look at it is that P = I*2 x R so clearly it doesn't matter which way the current is flowing.
 
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The polarity matters. The current source has a terminal voltage of -5 volts, minus on top, plus on bottom. Since positive current exits the positive terminal, the current source is delivering power.
If the terminal voltage were reversed plus on top, then the current source is receiving power.
An example is a car battery. When starting engine, positive current exits pos terminal. Battery delivers power to crank the starter. After engine starts, pos current from alternator enters battery pos terminal. Battery here is receiving power from alternator, ie getting recharged.

Claude Abraham
EE 41 years
PhD candidate
 
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  • #10
Good point. I was forgetting that it's an active component so my analogy with a passive component is not a good one.
 
  • #11
fight_club_alum said:
It would make a difference if I am calculating, for instance, the power developed and dissipated
Yes it makes a difference. But remember your example with only ideal voltage sources and ideal current sources is very unrealistic. There is no real life circuit that behaves like that example.

It is easy to create contradictory examples using ideal components. For example an ideal voltage source with a short circuit that predicts infinite current. Ideal components are extremely useful to help analyze real world circuits which never contain infinities. It is silly to apply them to unrealistic circuits.
 
  • #12
phinds said:
No. Power does not have a polarity. Think about it this way: if you have a single 10 ohm resistor drawn vertically and you connect +10 volts to the top and ground the bottom, the power dissipation is 10 watts. If, on the other hand, you connect +10 volts to the bottom and ground the top, the power dissipation will be 10 watts.
That is a bit overstated. Your example is true only true for a resistor. If power had no polarity it wouldn't matter if power flows from power plant to customer or from customer to power plant.
 
  • #13
anorlunda said:
That is a bit overstated. Your example is true only true for a resistor. If power had no polarity it wouldn't matter if power flows from power plant to customer or from customer to power plant.
Yes, see post #10
 
  • #14
phinds said:
Good point. I was forgetting that it's an active component so my analogy with a passive component is not a good one.

We all trip over our own words once in a while. I know you know this, but it is not even true for every passive circuit.

The correct statement is that P=VI does have polarity, and can be positive and negative. But in a passive resistor, when V changes sign, so does I. When the circuit includes passive L or C, that is no longer true.
 
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  • #15
anorlunda said:
We all trip over our own words once in a while. I know you know this, but it is not even true for every passive circuit.

The correct statement is that P=VI does have polarity, and can be positive and negative. But in a passive resistor, when V changes sign, so does I. When the circuit includes passive L or C, that is no longer true.
DOH_small.jpg
 
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  • #16
phinds said:
another way to look at it is that P = I*2 x R so clearly (??) it doesn't matter which way the current is flowing.
True but (for a passive device) that doesn't take care of the P = VI sign. If you are measuring relative to the Positive terminal you will get +V and +I; if you measure relative to the - terminal you get a -V and -I so VI is positive either way.
Kirchoff II tells us that the emf's subtract from the IR's and the signs also behave properly according to whether Power is going in or going out.
 
  • #17
sophiecentaur said:
True but (for a passive device) that doesn't take care of the P = VI sign.
Did you miss #13?
 
  • #18
I think the dementia is kicking in.
 

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