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LC Resonator Calculator

LC Resonator Calculator

Calculate LC resonant frequency, required inductance, required capacitance, reactance, Q factor, and bandwidth for tank circuits and RF filters.

Input Parameters

Choose which LC value to calculate.
Enter when solving for frequency or capacitance.
Enter when solving for frequency or inductance.
Enter when solving for L or C.
Ω
Used for approximate Q and bandwidth.

Results

Resonant Frequency
159.155 MHz
Inductance
100 nH
Capacitance
10 pF
Reactance at Resonance
100 Ω
Approximate Q Factor
100
3 dB Bandwidth
1591.55 kHz
Design Note
Ideal LC resonance estimate

For RF work, include parasitic capacitance and inductor SRF when choosing components.

Equations Used

Resonant Frequency:

f0 = 1 / (2π × sqrt(LC))

Inductance:

L = 1 / [(2πf)^2 × C]

Capacitance:

C = 1 / [(2πf)^2 × L]

Q Factor:

Q ≈ X / Rseries

Bandwidth:

BW ≈ f0 / Q

Frequently Asked Questions (FAQ)

Q1: What does this LC resonator calculator do?
It solves resonant frequency, inductance, or capacitance for an LC tank circuit.

Q2: What is resonance in an LC circuit?
At resonance, inductive and capacitive reactance have equal magnitude and opposite sign.

Q3: Why include series resistance?
Series resistance reduces Q and broadens bandwidth.

Q4: Does parasitic capacitance matter?
Yes. At RF, coil capacitance, PCB capacitance, and device capacitance can shift resonance.

Q5: Can this design RF filters?
It provides the resonant element values, but complete filters need topology and impedance matching design.

Q6: Why is measured resonance different?
Component tolerance, SRF, ESR, layout parasitics, and dielectric loss can shift the real frequency.

Disclaimer: This calculator uses ideal LC resonance equations with a simplified series resistance Q estimate. Real resonators are affected by ESR, parasitic capacitance, inductor self-resonance, PCB layout, component tolerance, and temperature. Verify critical circuits by simulation and measurement.
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