Relationship Between Impedance, Reactance & Resistance in R Circuit

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Discussion Overview

The discussion revolves around the relationship between impedance, reactance, and resistance in simple R circuits. Participants explore definitions, mathematical representations, and the implications of these concepts in both AC and DC contexts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question the necessity of multiple terms like impedance and reactance, suggesting they stem from Ohm's law (V=IR).
  • There is uncertainty about whether impedance and reactance relate to peak voltage and current or if they are defined differently in various contexts.
  • One participant states that impedance is defined as a complex number where the real part is resistance and the imaginary part is reactance, which is influenced by inductive and capacitive elements in the circuit.
  • Another participant clarifies that in a steady-state DC circuit, resistance equals impedance, while in an AC circuit, impedance is the sum of resistance and reactance.
  • There are differing views on the mathematical definitions of impedance and reactance, with references to various forms such as Vo/Io, Vrms/Irms, and V/I at any instant.
  • One participant introduces the concept of phasors in relation to voltage and current, indicating a need for understanding vector representations in AC analysis.
  • Another participant mentions the use of an impedance triangle to visualize the relationship between resistance and reactance.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and relationships between impedance, reactance, and resistance. There is no consensus on the mathematical representations or the implications of these terms in AC versus DC circuits.

Contextual Notes

Participants reference various definitions and contexts for impedance and reactance, indicating potential limitations in understanding due to the complexity of AC circuit analysis and the need for familiarity with phasors and vector representations.

Who May Find This Useful

This discussion may be useful for students and individuals seeking clarification on the concepts of impedance, reactance, and resistance in electrical circuits, particularly in the context of AC and DC analysis.

momomo_mo
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I want to ask the relationship between "IMPEDANCE" and "REACTANCE" with resistance in the simple R circuit.
I don't know why we should create so many terms .They are all come from OHhm's law(ie V=IR)
Is the difference is due to voltage and current is at the peak in impedance and reactance??
Also,I see some reference books stated that impendance =Vrms/Irms??
Whcih one is correct?

Last but not least, Can anybody help me to clarify this sentences concerning imedance----the ration V/I is defined as the impedance of the circuit which measure its opposition to a.c.?

Thank you
 
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momomo_mo said:
I want to ask the relationship between "IMPEDANCE" and "REACTANCE" with resistance in the simple R circuit.
I don't know why we should create so many terms .They are all come from OHhm's law(ie V=IR)
Is the difference is due to voltage and current is at the peak in impedance and reactance??
Also,I see some reference books stated that impendance =Vrms/Irms??
Whcih one is correct?

Last but not least, Can anybody help me to clarify this sentences concerning imedance----the ration V/I is defined as the impedance of the circuit which measure its opposition to a.c.?

Thank you

The Impedance is usually defined as a complex number \mathcal{Z} such that \mathcal{U}=\mathcal{Z}\mathcal{I}. The real part of the impedance is the Resistance, and its imaginary part is the Reactance. The Reactance is caused by coils and condenser in a circuit and their magnetic fields, which generate Reactive Power. Those elements not only cause a change in modulus of voltage and current, but also a shift on the phase of the waves of both of them.
 
momomo_mo, do you know about what we electrical engineers call "phasors" (not to be confused with Star Trek ray-guns)?

judging from these two questions, i am not sure what it is that you do know, so to find the best answer (and to save time) for you.
 
rbj said:
momomo_mo, do you know about what we electrical engineers call "phasors" (not to be confused with Star Trek ray-guns)?

.

The thing of the star trek is funny. Yeah, just to clarify, my big U and big I (complex numbers) are in this context phasors.
 
I am a secondary school students and I do not need any professional answers.
I want to know Last but not least, Can anybody help me to clarify this sentences concerning imedance----the ration V/I is defined as the impedance of the circuit which measure its opposition to a.c.?

Also,mathematically what are imepdance and reactance defined?? Vo/Io
(o--peak) or Vrms/Irms or V/I (at any time instant) ?

THank you
 
momomo_mo said:
I am a secondary school students and I do not need any professional answers.
I want to know Last but not least, Can anybody help me to clarify this sentences concerning imedance----the ration V/I is defined as the impedance of the circuit which measure its opposition to a.c.?
V/I is the impedance of any circuit DC or AC.
In a steady state DC circuit resistance = impedance.
In an AC circuit impedance = resistance + reactance.

momomo_mo said:
Also,mathematically what are imepdance and reactance defined?? Vo/Io
(o--peak) or Vrms/Irms or V/I (at any time instant) ?
Peak is just that. The maximum voltage peak of the AC voltage swing.
RMS is the DC equivilent voltage of the Peak V.
To understand reactance you nead to learn how to deal with vectors.
 
Impedence is the total opposition to current flow. You can add resistance and reactance vectorally or just do an impedance triangle. Resistance is your x axis, reactance is your y axis, and the impedance is your hypotenuse, and the angle between converts to your power factor. But as Notime said, you should learn about vectors, and how inductive and capacitive loads affect the circuit. (ELI the ICE man, lead and lag, and all that other stuff we electricians have to learn but never use in the field)
 

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