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

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It is possible to build a phase shifter using RLC components by manipulating the impedance Z(ω) through the relationship between reactance and resistance. The phase of the impedance can be shifted by adjusting reactance or resistance, as described by the formula tan(θ) = X/R. For a fixed phase shift across a range of frequencies, specific circuit designs can achieve this, but a constant phase shift over the entire frequency spectrum is not feasible. The discussion emphasizes the importance of understanding the polar representation of impedance and its implications for circuit design. Overall, while phase shifting is achievable, limitations exist based on frequency constraints.
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.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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