Calculating Phase shifts of componets (capacitors & inductors)

does anyone know the formula to to calculate the phase shifts over capacitors and inductors? to be used in a computer program.

we know the values of components, type, frequency and current through each component. but NOT the voltage.

Thanks

 

[jbartos]

Suggestion: Using any of the following transforms:
1. Laplace transform
2. Fourier Transform
3. Z-transform
4. Hilbert transform
5. Etc.
to describe the model circuit in the frequency domain and then invert it to the time domain where it will show a phase shift, if it exists.
Voltages are:
1. capacitor Vc=(1/C) x Integral from 0 to T of Ic dt + Vco
2. inductor Vind=L x (di/dt)
3. resistor Vr=I x R
Note: Initial conditions of elements should not be overlooked.

 

[lkm]

This is we call the frequency domain analysis. It calculate similar to the resistor network but the capacitor and inductor are consider as a complex resistance or call it impedence. If you just talking about idea capactior or inductor, the phase angle will be 90degree different on sine wave. The main problem is in a network with some resistors, capacitors and inductors....

You need to know any waveform has the equvalence to a series of sine wave with different frequency and phase angle. If your waveform is not perfect, The calculation will has error. The easy understanding example is square wave. By matematics, a square wave contain a lot of component with different frequency. If you just consider it is a simple sine wave the calculation will not work.

Also, the capacitor and inductor in high frequency need to consider the resistant on it.

I suggest you read a basic circuit textbook. It is easy to calculate.

I hope it help.