Resonance Calculator

Q: What is resonant frequency?

Resonant frequency (f0) is the specific frequency at which resonance occurs in an RLC circuit. It is determined by the values of inductance (L) and capacitance (C) in the circuit.

Calculate the resonant frequency, inductive reactance, and capacitive reactance for series and parallel RLC circuits.

RLC Circuit Parameters

Resistance (R)

Ohms (Ω)

Inductance (L)

Capacitance (C)

Resonance Formulas

In an RLC circuit, resonance occurs when the inductive reactance (X_L) equals the capacitive reactance (X_C).

Resonant Frequency (f₀)

f₀ = 1 / (2 π √(L C))

Inductive Reactance (X_L)

X_L = 2 π f L

Capacitive Reactance (X_C)

X_C = 1 / (2 π f C)

Where:

f₀ = Resonant Frequency in Hertz (Hz)
L = Inductance in Henrys (H)
C = Capacitance in Farads (F)
f = Frequency in Hertz (Hz)

Series vs. Parallel Resonance Characteristics

Characteristic	Series Resonance	Parallel Resonance
Impedance at Resonance	Minimum	Maximum
Current at Resonance	Maximum	Minimum
Phase Angle	0°	0°
Q-factor	Voltage magnification	Current magnification
Applications	Band-pass filters, voltage amplifiers	Band-stop filters, oscillators, impedance matching

Frequently Asked Questions

What is electrical resonance?

Electrical resonance occurs in an electrical circuit when the inductive and capacitive reactances are equal in magnitude, causing electrical oscillations. At resonance, the impedance of the circuit is purely resistive.

What is resonant frequency?

Resonant frequency (f₀) is the specific frequency at which resonance occurs in an RLC circuit. It is determined by the values of inductance (L) and capacitance (C) in the circuit.

What is the difference between series and parallel resonance?

In a series RLC circuit, resonance occurs when the impedance is at its minimum, leading to maximum current. In a parallel RLC circuit, resonance occurs when the impedance is at its maximum, leading to minimum current (for a given voltage source).