Is it possible to build a phase shifter from RLC components?

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Discussion Overview

The discussion revolves around the possibility of constructing a phase shifter using RLC components, specifically focusing on whether it is feasible to achieve a constant phase shift of impedance across different frequencies.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires if it is possible to combine a circuit component with impedance Z(ω) with resistors, capacitors, and inductors to achieve a constant phase shift.
  • Another participant seeks clarification on what is meant by the "phase of the impedance."
  • A different participant suggests that if the phase refers to the polar angle of the impedance, it can be altered by changing the reactance or resistance, referencing the formula tan(θ) = X/R.
  • One participant reiterates the initial question about achieving a constant phase shift and notes that while fixed phase shifts can be achieved over a band of frequencies, a constant phase shift across the entire frequency spectrum is not possible.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of achieving a constant phase shift across all frequencies, with some suggesting it is possible only over a limited range.

Contextual Notes

There are unresolved assumptions regarding the definitions of phase shift and the specific configurations of RLC components that may affect the outcomes discussed.

Kfir Dolev
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Say you have a circuit component with impedence Z(\omega). Is it possible combine it in some way to resistors, capacitors, and inductors, so as to shift the phase of the impedance by a constant?
 
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What do you mean by the phase of the impedance?
 
Do you mean the polar angle of the impedance, that is, the angle when Z is expressed in polar form? In that case, simply changing the reactance or the resistance using the formula tan(θ) = X/R will do that (where X is the reactance and R is the resistance), using the relevant form of X according to whether you are using capacitors or inductors.
 
Kfir Dolev said:
Say you have a circuit component with impedence Z(\omega). Is it possible combine it in some way to resistors, capacitors, and inductors, so as to shift the phase of the impedance by a constant?
If you require a fixed phase shift over a band of frequencies, there are some circuits to do this. But you cannot obtain a fixed phase shift over the entire frequency spectrum.
 

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