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AC Components and Circuits
Resonant Circuits

Section 9-3 Parallel Resonance




Parallel Resonant Frequency


fr = 1  


fr = Resonant frequency in Hertz
L = Inductance
C = Capacitance





Resonance is a condition in an LC circuit when their respective reactances are equal.


When a parallel RLC circuit is at resonance, XL = XC.

When XL = XC in a parallel circuit, VT/XL = VT/XC or, in other words the reactive currents are equal.

When IC = IL, this equation reuces to IT = IR:

When IC = IL, this equation reduces to  IT =

IR2 + (IC IL)2

The reactdive impedence is infinite.





David L. Heiserman, Editor

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Revised: June 06, 2015