LC Resonance Circuit Calculator

Calculate L and C

Inputs:
Select Type:

f_r:
Q:
R_S:
R_L:

Theoretical Results:
L:
C:

f_r:
BW:
R_S:
R_L:
Q_p:

Theoretical Results:
L:
C:
Rp:

Calculate Source Resistance(Rs):
Inputs:
f_r:
Q:
R_L:
Select:

Theoretical Results:
R_s:

Calculate Load Resistance(Rl):
f_r:
Q:
R_s:
Select:

Theoretical Results:
R_L:

This calculator determines the values of inductance (

L

) and capacitance (

C

) for an LC resonant circuit with specified source and load resistances. Given inputs such as the resonant frequency (

f_r

), quality factor (

Q

), source impedance (

R_s

), and load impedance (

R_l

), the calculator first computes the parallel resistance (

R_p

) using

R_p = \frac{R_s \times R_l}{R_s + R_l}

. The parallel reactance (

X_p

) is then calculated as

X_p = \frac{R_p}{Q}

. Finally, the inductance and capacitance are found using

L = \frac{X_p}{2 \pi f_r}

and

C = \frac{1}{2 \pi f_r X

Some example usage of this online LC parallel resonant circuit calculator are as follows.