Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Consider an AM radio tuner comprising a parallel connection of a resistor, capacitor, and inductor, which collectively contribute to the circuit's input admittance.

At resonance, the imaginary part of the admittance is zero, causing the resonant frequency to vary inversely with the square root of the product of inductance and capacitance....