What is the formula to calculate the resonant frequency of a series RLC circuit?
1 Answer
The resonant frequency (
res
f
res
) of a series RLC circuit can be calculated using the following formula:
res
=
1
2
f
res
=
2π
LC
1
Where:
res
f
res
is the resonant frequency in Hertz (Hz).
L is the inductance of the circuit in Henrys (H).
C is the capacitance of the circuit in Farads (F).
π is the mathematical constant pi, approximately equal to 3.14159.
In a series RLC circuit, the resonant frequency is the frequency at which the capacitive reactance (
X
C
) and the inductive reactance (
X
L
) are equal in magnitude but opposite in phase. At this frequency, the impedance of the circuit becomes purely resistive, and the current through the circuit is maximized.
res
f
res
) of a series RLC circuit can be calculated using the following formula:
res
=
1
2
f
res
=
2π
LC
1
Where:
res
f
res
is the resonant frequency in Hertz (Hz).
L is the inductance of the circuit in Henrys (H).
C is the capacitance of the circuit in Farads (F).
π is the mathematical constant pi, approximately equal to 3.14159.
In a series RLC circuit, the resonant frequency is the frequency at which the capacitive reactance (
X
C
) and the inductive reactance (
X
L
) are equal in magnitude but opposite in phase. At this frequency, the impedance of the circuit becomes purely resistive, and the current through the circuit is maximized.