What is inductor's impedance for a square wave or a triangular wave signal?

[magnetra]

Impedance of an inductor is wL ohms, for a pure sine wave. What is it's impedance to a square wave or a triangular wave signals.

 

[checkmate]

Re: Impedance

Impedence of an inductor is jwL.
It is obvious impedence is a function of frequency w. Square and triangle waves have infinite spectral range, and each frequency component will result in a different impedence.

 

[VVV]

Re: Impedance

For non-sinusoidal waveforms one would normally use the complex impedance sL. s is the complex variable.

You then use the Laplace transforms for all the sources and impedances in your circuit (1/sC for caps, R for resistors, U/s for step voltages, U/s^2 for ramp voltages, etc), then the differential equations associated with the circuit become algebraic equations.

You solve them and apply the inverse Laplace transform to get the time domain response of the circuit.

For the sinusoidal case, s=jω and the complex impedance reduces to the familiar formula for Z=jωL, with |Z|=ωL.