Resonant Frequency Calculator
Calculate resonant frequency for LC circuits, tank circuits, and tuned circuits with inductance and capacitance
Calculate LC Circuit Resonant Frequency
Inductance of the inductor in the LC circuit
Capacitance of the capacitor in the LC circuit
LC Circuit Analysis Results
Formula used: f₀ = 1 / (2π √(LC))
Input values: L = 0.000e+0 H, C = 0.000e+0 F
LC Product: 0.000e+0 H·F
Frequency Range Analysis
Example Calculation
FM Radio Tank Circuit
Application: FM radio tuning circuit at 100 MHz
Inductance (L): 2.53 μH (microhenries)
Capacitance (C): 1.0 pF (picofarads)
Circuit Type: Parallel LC tank circuit for frequency selection
Calculation
f₀ = 1 / (2π √(LC))
f₀ = 1 / (2π √(2.53×10⁻⁶ × 1.0×10⁻¹²))
f₀ = 1 / (2π √(2.53×10⁻¹⁸))
f₀ = 1 / (2π × 1.59×10⁻⁹)
f₀ = 100.0 MHz
LC Circuit Configurations
Series LC Circuit
Inductor and capacitor connected in series. Minimum impedance at resonance.
Parallel LC Circuit
Inductor and capacitor connected in parallel. Maximum impedance at resonance.
Common Applications
Radio Tuning
Selecting specific radio frequencies
Audio Filters
Crossover networks in speakers
Oscillators
Signal generation circuits
Antenna Matching
Impedance matching networks
Quick Reference
Understanding LC Circuit Resonance
What is Resonant Frequency?
The resonant frequency is the natural frequency at which an LC circuit oscillates when energy is transferred back and forth between the magnetic field of the inductor and the electric field of the capacitor. At this frequency, the inductive and capacitive reactances are equal and cancel each other out.
Physical Principles
- •Energy oscillates between electric and magnetic fields
- •Inductive reactance X_L = 2πfL increases with frequency
- •Capacitive reactance X_C = 1/(2πfC) decreases with frequency
- •At resonance: X_L = X_C, total reactance = 0
Formula Derivation
Key Characteristics
- ✓Frequency depends only on L and C values
- ✓Independent of resistance (ideal case)
- ✓Maximum energy transfer at resonance
- ✓Forms basis for oscillators and filters
Series LC Circuit
- • Minimum impedance at resonance (Z = R only)
- • Maximum current at resonant frequency
- • Behaves as bandpass filter
- • Used in tuned amplifiers and filters
Parallel LC Circuit
- • Maximum impedance at resonance
- • Minimum current from source at resonance
- • Acts as tank circuit storing energy
- • Used in oscillators and frequency selection