Frequency does not matter for the "lag" ?

In summary: The current would be seen on an oscilloscope as a slope of the resistor's current, with the sine of the magnetizing current (shifted 90 degrees to the emf).
  • #1
Yuri B.
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AC, as is known, "lags" voltage in a coil and we are familiar with the drawings of the two sine waves with the 90 degree angular "shift" between them. For 50 Hz the shift translates into 5 µs "lagging" but, for instance, for 0.05 Hz AC it would indeed be 5 s ?

What I mean : frequency does not matter for the "lag" ?
 
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  • #2
Yuri B. said:
AC, as is known, "lags" voltage in a coil and we are familiar with the drawings of the two sine waves with the 90 degree angular "shift" between them. For 50 Hz the shift translates into 5 µs "lagging" but, for instance, for 0.05 Hz AC it would indeed be 5 s ?

Well, for a 90 deg. phase shift, you'd have π/2 = ωtlag

tlag = π/(2ω) = π/(2*2π*(0.05 Hz)) = 1/(4*0.05 Hz) = 1/(0.2) s = 5 s.

So, sure.
 
  • #3
Yuri B. said:
What I mean : frequency does not matter for the "lag" ?

No, it does not matter. Impedance of an inductor is ZL = iωL = ωLei(π/2) or ωLπ/2 in phasor notation.

So you can see that, for a fixed sinusoidal AC voltage applied to an inductor, the the amplitude of the inductor current changes with frequency, but not the phase, which is fixed at -π/2 relative to the voltage, since I = V/Z, these being complex (phasor) currents and voltages.
 
  • #4
Roughly speaking, a generator's rotor pole passing the stator pole will indeed cause no current in a (load) coil so far the poles have not passed over their midpoint ? No matter how slow moves the rotor ?
 
  • #5
Thank you !
 
  • #6
cepheid said:
No, it does not matter. Impedance of an inductor is ZL = iωL = ωLei(π/2) or ωLπ/2 in phasor notation.

So you can see that, for a fixed sinusoidal AC voltage applied to an inductor, the the amplitude of the inductor current changes with frequency, but not the phase, which is fixed at -π/2 relative to the voltage, since I = V/Z, these being complex (phasor) currents and voltages.
what is the reactance of this inductor?
Are you assuming the inductor has zero resistance and has zero associated capacitance
 
  • #7
technician said:

what is the reactance of this inductor?
Are you assuming the inductor has zero resistance and has zero associated capacitance

You are correct. It is always assumed so as you say, but in reality the "loss in copper" current starts immediately the emf is applied.
What is form of the current on oscilloscope ? (I have never had an access to one) A slope of the resistive current, then the sine of the magnetizing current (shifted 90 degrees to the emf)?
 
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1. What exactly is meant by "frequency does not matter for the lag"?

When discussing "lag" in a scientific context, it refers to the delay or gap between cause and effect. This statement means that the amount of time between the cause and effect is not affected by the frequency of the cause.

2. Why does frequency not affect the lag time?

This is because the lag time is determined by the nature of the cause and the effect, rather than the frequency at which the cause occurs. The cause and effect must go through the same process, regardless of how often the cause occurs.

3. Can you provide an example of when frequency does not matter for the lag?

One example would be the lag time between exposure to a virus and the onset of symptoms. The lag time will be the same whether a person is exposed to the virus once or multiple times.

4. Does this mean that frequency has no impact on the outcome of a process?

No, frequency can still impact the overall outcome of a process, but it does not affect the lag time specifically. For example, in a chemical reaction, increasing the frequency of reactants may speed up the overall reaction, but it will not change the lag time between when the reactants are added and when the reaction occurs.

5. How does this concept impact scientific research and experimentation?

Understanding that frequency does not matter for the lag can help researchers design more efficient experiments. They can focus on the cause and effect relationship without needing to manipulate the frequency of the cause in order to observe the effect.

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