What would happen to the inpedance of a series circuit containing an inductor, capacitor and resistor if the supply frequency is varied from 0 to infinite Hz. I also need to include sketches of pahsor diagrams in my explanation.

 

There will be a resonant peak at (2π√LC)^-1 and the inductor will have an infinite impedance at infinite frequency while the capacitor will approach zero impedance and the resistor won't matter. This analysis assumes ideal components. Real components may exhibit other pathologies.

If you look at real components on a VNA you see inductors becoming capacitors due the distributed capacitance of the windings themselves and you see capacitors becoming inductors as the wavelength of the field vector becomes approximately equal to the dimensions of the capacitor and the separation of the plates.

You can't make this stuff up and you can't believe how weird and counter-intuitive it is when you see it for the first time.

 

What do you think happens? It's homework help... post some of your ideas and answers, then we can help you.