if i have an AC circuit consisting of R resistor and XL inductor and XC capacitor.and XLXC, so Zroot R^2 as you know and the circuit will be purely resistive, but does this mean there will be no magnetic field in the inductor?another question:if i cancel the resistor from the previous circuit and still XCXL, will the circuit act as a short circuit?
There will always be a magnetic field in an inductor if there is current in the inductor. If you could some how eliminate all the resistance from the winding of the inductor, you would have a short circuit at the resonant frequency. In reality there would still be a small amount of resistance that would limit the current in a series circuit.
no, there will be a magnetic field in the inductor. yes, the impedance will be zero at the resonance frequency, but only at that frequency. .
