LC Tank Circuit Calculator

An LC tank circuit is a parallel combination of an inductor (L) and capacitor (C) that creates a resonant circuit. At the resonant frequency, the circuit stores energy by oscillating between the magnetic field in the inductor and the electric field in the capacitor.

Resonant frequency is the frequency at which the inductive reactance equals the capacitive reactance, causing them to cancel out. At this frequency, the circuit has minimum impedance and maximum current flow, making it crucial for RF applications like radio transmitters and filters.

The resonant frequency is calculated using the formula: f = 1/(2π√LC), where f is frequency in Hz, L is inductance in Henries, and C is capacitance in Farads. This formula shows that resonant frequency is inversely proportional to both inductance and capacitance.

Using the formula f = 1/(2π√LC) with L = 1×10⁻³ H and C = 220×10⁻¹² F, the resonant frequency would be approximately 339.3 kHz or 0.339 MHz.

Radio transmitters and receivers use LC tank circuits to select specific frequencies. The tank circuit acts as a frequency-selective filter, allowing signals at the resonant frequency to pass while attenuating other frequencies, enabling precise tuning to desired radio stations.

At resonance, the LC tank circuit absorbs maximum power and has minimum impedance. The energy oscillates between the inductor's magnetic field and capacitor's electric field, creating sustained oscillations that are fundamental to many RF applications.

Yes, the resonant frequency formula f = 1/(2π√LC) applies to both series and parallel LC circuits. However, the impedance characteristics differ - series circuits have minimum impedance at resonance while parallel circuits have maximum impedance.

The Q factor (quality factor) depends on the resistance in the circuit. Lower resistance results in higher Q, meaning sharper frequency selectivity and less energy loss. Real-world components have parasitic resistance that limits the achievable Q factor.