LC Resonance Calculator

Calculate LC circuit resonant frequency, characteristic impedance, Q factor, and bandwidth for LC tank circuits, filters, and oscillators.

LC Resonant Circuit

LC Tank Circuit

        ┌─── L ───┐
        │         │
        │         │
        └─── C ───┘
        
    fr = 1/(2π√LC)
    Z0 = √(L/C)
    Q = Z0/R

Frequency Response

BW = fr/Q

Calculation Method

From L & C Values From Resonant Frequency From Characteristic Impedance

Inductance & Capacitance

Inductance (L)

Capacitance (C)

µF

Series Resistance (Optional)

About LC Resonance

LC resonance occurs when the inductive and capacitive reactances are equal, creating a condition where energy oscillates between the magnetic field of the inductor and the electric field of the capacitor.

Key Concepts:

Resonant Frequency: Frequency at which XL = XC
Characteristic Impedance: √(L/C), determines circuit behavior
Q Factor: Quality factor, determines selectivity
Bandwidth: Range of frequencies around resonance

Applications:

Oscillators: Generate sinusoidal signals
Filters: Select or reject specific frequencies
Tuning Circuits: Radio and TV tuners
Impedance Matching: RF and antenna systems

Design Considerations:

Component tolerances affect resonant frequency
Parasitic resistances reduce Q factor
Temperature stability of components
Self-resonant frequencies of components