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LC Resonance Calculator
This calculator determines the resonant frequency of an LC circuit from inductance and capacitance. It can also calculate the required inductance or capacitance for a target resonant frequency. It is useful for RF circuits, filters, oscillators, tank circuits, antenna tuning, and resonant network design.
Input Parameters
Results
At resonance, the inductive and capacitive reactances are equal in magnitude. Practical circuits may shift due to tolerance, parasitic capacitance, ESR, and layout effects.
Equations Used
Resonant Frequency:
f = 1 / (2π√LC)
Required Inductance:
L = 1 / ((2πf)2 × C)
Required Capacitance:
C = 1 / ((2πf)2 × L)
Where:
f = resonant frequency in Hz
L = inductance in henries
C = capacitance in farads
π ≈ 3.14159
Frequently Asked Questions (FAQ)
Q1: What does this LC resonance calculator do?
It calculates the resonant frequency of an LC circuit, or solves for the required inductance or capacitance for a target frequency.
Q2: What is LC resonance?
LC resonance occurs when the inductor and capacitor exchange energy at a natural frequency determined by their values.
Q3: What types of circuits use LC resonance?
LC resonance is used in RF filters, oscillators, antenna matching networks, tuned circuits, tank circuits, and frequency-selective networks.
Q4: Why is the real resonant frequency sometimes different?
Component tolerance, coil self-capacitance, capacitor ESR, PCB parasitics, lead length, and nearby conductors can shift the measured resonant frequency.
Q5: What is reactance at resonance?
It is the magnitude of the inductor or capacitor reactance at the resonant frequency. In an ideal LC circuit, XL and XC are equal in magnitude.
Q6: Can this calculator be used for RF design?
Yes. It is useful for early RF design and tuning estimates, but final RF circuits should be verified with measurement or simulation.
