Capacitance Parameters
Inductance Parameters
Please enter valid positive numeric values for capacitance and inductance. Check that fields are not empty or zero.
RESULTS
Resonant Frequency (MHz)
MHz
Resonant Frequency (Hz)
Hz
Angular Frequency (ω)
rad/s
Characteristic Impedance (Z0)
Ω
Input Parameters Specification
Capacitance (C)The electrostatic energy storage capacity of the tank circuit. Standard units range from picofarads (pF) to Farads (F).
Inductance (L)The magnetic energy storage capacity of the coil. Standard units range from nanohenrys (nH) to Henrys (H).
Capacitance PrefixScaling factor representing decimal exponents (e.g., pF is 10^-12, nF is 10^-9).
Inductance PrefixScaling factor representing decimal exponents (e.g., nH is 10^-9, µH is 10^-6).
Practical Operational Examples
RF Transmitter Oscillators
Helps configure local oscillators or VFOs (Variable Frequency Oscillators) in radio transmitters using parallel tank loops.
Passive Bandpass Filters
Designs band-pass and band-stop filtering stages to selectively block or pass specific frequency bands.
Receiver Tuning Blocks
Determines standard tuning parameters for AM/FM radio receiver input pre-selector circuits.
Induction Heating Coils
Calculates matching parameters for high-power magnetic heating resonant systems operating in the kHz-MHz range.
Diagrams & Theory
An LC tank circuit consists of an inductor (L) and a capacitor (C) connected together. When charged, energy continuously oscillates between the capacitor's electric field and the inductor's magnetic field at a specific frequency called the resonant frequency.
Formulas & Mathematical Logic
Resonant calculations employ the standard mathematical equations defining zero reactive phase angles inside capacitive-inductive systems.
Resonant Frequency (Hz): f = 1 / (2 × π × sqrt(L × C))
Resonant Frequency (MHz): f_mhz = f / 1,000,000
Angular Resonant Frequency (rad/s): ω = 2 × π × f = 1 / sqrt(L × C)
Characteristic Impedance (Ω): Z0 = sqrt(L / C)
How to Use This Calculator
Enter your capacitor value (C) and pick the matching unit multiplier (pF, nF, µF, mF, or F).
Enter your inductor value (L) and select the multiplier prefix (nH, µH, mH, or H).
Verify that both input fields contain positive values.
Click CALCULATE to compute resonant metrics instantly.
Analyze results across frequency (MHz, Hz), angular rate (rad/s), and characteristic impedance (Z0).
About This Calculator
Instantly find the resonance points of reactive networks.
The Tank Circuit Resonance Calculator computes resonant frequencies of series or parallel LC (Inductor-Capacitor) designs easily.
At resonance, the inductive reactance and capacitive reactance of a tank circuit become equal in magnitude but opposite in sign. This cancels out the net reactive component of the circuit impedance, leaving only the resistive part. In a series LC circuit, this creates an impedance minimum (ideally 0 ohms), making it pass currents exceptionally well. In a parallel LC circuit, this creates an impedance maximum (ideally infinite), causing it to act as an open circuit that blocks currents at the resonant frequency.
This utility is built to provide rapid conversion parameters. Along with standard frequency, it outputs angular parameters (omega) and characteristic impedance, making it a comprehensive reference helper for antenna matching, oscillator tuning, and power supply filtering design.
Energy OscillationContinuous power transfer between electric and magnetic fields.
Reactance CancellationNet phase angle transitions to exactly zero at resonance.
Selectivity FactorHigher characteristic impedances (Z0) change bandwidth response.
Impedance MatchingA primary step in matching transmitter outputs to antenna loads.
Tip: Remember to check component self-resonant frequencies (SRF) on datasheets. Real-world inductors and capacitors contain parasitic parameters that alter tank performance at high RF frequencies!
Frequently Asked Questions
1. What is an LC tank circuit?
An LC tank circuit is a resonant network consisting of an inductor (L) and a capacitor (C). It acts as an electrical resonator, storing and oscillating AC electrical energy at its resonant frequency.
2. How does resonance differ between series and parallel tanks?
A series resonant LC circuit presents minimal impedance to input currents at resonance, while a parallel resonant LC circuit exhibits maximum impedance, blocking current flow at resonance.
3. What does characteristic impedance mean in a tank?
Characteristic impedance (calculated as Z0 = sqrt(L/C)) is the ratio of voltage to current within the tank. It determines the relative energy balance between electric and magnetic fields and directly influences the loaded Q factor.
4. Can parasitic resistance affect the resonant frequency?
Yes. Real-world components have internal resistance. In high-Q circuits, the effect is negligible, but high series resistance slightly shifts parallel resonance downward.
5. What is the angular frequency (ω)?
Angular frequency represents the resonance rotation speed in radians per second. It is calculated as ω = 2 × π × f.
Related Calculators
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Pi-Match Network CalculatorCalculates multi-component matching structures for RF paths.
Parallel Resistor CalculatorFinds parallel equivalent values for resistor configurations.
LC Filter DesignerDesigns low-pass and high-pass filters with specific roll-offs.