Parallel GLC circuits

When a coil, capacitor, and resistor are connected in parallel (Fig. 1), the resistor should be thought of as a conductor, whose value in siemens is equal to the reciprocal of the value in ohms. Think of the conductance as all belonging to the inductor. (Thinking of it all as belonging to the capacitor will also work.) Then you have two vectors to add, when finding the admittance of a parallel GLC (conductance-inductance-capacitance) circuit:

Fig. 1: A parallel GLC circuit.