Relationship Between Impedance, Reactance & Resistance in R Circuit

  • Thread starter momomo_mo
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In summary, the Impedance is a complex number that represents the total opposition to current flow in a circuit. It is made up of the Resistance, which is the real part, and the Reactance, which is the imaginary part. The Reactance is caused by inductive and capacitive elements in the circuit and contributes to the phase shift of voltage and current. The ratio of voltage to current, V/I, is defined as the impedance of the circuit and can be calculated at any time instant. In an AC circuit, impedance is equal to resistance plus reactance.
  • #1
momomo_mo
25
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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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  • #2
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 [tex]\mathcal{Z}[/tex] such that [tex]\mathcal{U}=\mathcal{Z}\mathcal{I}[/tex]. 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.
 
  • #3
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.
 
  • #4
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.
 
  • #5
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
 
  • #6
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.
 
  • #7
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)
 

FAQ: Relationship Between Impedance, Reactance & Resistance in R Circuit

What is impedance in an R circuit?

Impedance in an R circuit is the total opposition to the flow of current, taking into account both resistance and reactance. It is measured in ohms and can be calculated using Ohm's Law (Z = V/I).

How does reactance affect impedance in an R circuit?

Reactance is the opposition to the flow of current caused by the presence of inductance or capacitance in a circuit. It is measured in ohms and is represented by the symbol X. In an R circuit, reactance and resistance are added together to calculate the total impedance (Z = R + X).

What is the relationship between impedance and resistance in an R circuit?

In an R circuit, impedance and resistance are directly proportional. This means that as resistance increases, impedance also increases. However, impedance takes into account both resistance and reactance, so it may not always be equivalent to the resistance in the circuit.

How can the phase angle between impedance and resistance be determined in an R circuit?

The phase angle between impedance and resistance in an R circuit can be determined by using the complex number representation of impedance (Z = R + jX). The phase angle is equal to the inverse tangent of the reactance over the resistance (θ = arctan(X/R)).

How does the frequency of the current affect the relationship between impedance, reactance, and resistance in an R circuit?

In an R circuit, the frequency of the current has a direct effect on the reactance, which in turn affects the impedance. As the frequency increases, the reactance decreases, resulting in a decrease in impedance. This means that at higher frequencies, the impedance of the circuit may be closer to the resistance value.

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