LC Resonance Calculator:
Enter the values of inductance, L(H)and capacitance, C(F)to determine the value of Resonant Frequency, R(Hz).
LC Resonance:
LC resonance refers to the natural frequency at which an electrical circuit consisting of an inductor (L) and a capacitor (C) oscillates. This type of circuit is known as a resonant circuit or tank circuit.
At resonance, the opposing effects of inductive and capacitive reactance neutralize one another, leading to the lowest possible impedance and the highest current in the circuit. This principle is crucial in radio systems, enabling precise frequency selection for both transmission and reception.
In an LC circuit, energy continuously shifts between the inductor’s magnetic field and the capacitor’s electric field. Such circuits are widely used in signal processing applications like filters, oscillators, and frequency-selective components in communication technologies.
The resonance occurs at a specific frequency determined by the values of inductance and capacitance.The larger the inductance or capacitance, the lower the resonant frequency.This natural frequency is also called the resonant frequency (R) of the LC circuit.
When operating at this frequency, the circuit can achieve large voltage or current amplitudes with small input.Resonance enhances signal strength and selectivity in electronic applications.The ideal LC circuit is lossless, but in real scenarios, resistance can cause damping and reduce resonance efficiency.
This resonance is purely a property of L and C and is independent of any external power source.The resonant frequency is inversely proportional to the square root of the product of L and C.The standard formula used to calculate resonant frequency is derived from the properties of oscillatory systems.
Resonant Frequency, R(Hz)in Hertz equals 1 divided by 2 times pi multiplied by the square root of the product of inductance, L(H) in henries and capacitance, C(F) in farads.
Resonant Frequency, R(Hz)= 1 / (2 * π * √(L(H)* C(F)))
R(Hz)= resonant frequency in Hertz, Hz.
L(H)= inductance in henry, H.
C(F) = capacitance in farad, F.
LC Resonance Calculation:
- An LC circuit has an inductance of 0.05 H and a capacitance of 100 µF (100 * 10-6 F). Calculate the resonant frequency.
Given: L(H)= 0.05 H, C(F) = 100 * 10-6 F.
Resonant Frequency, R(Hz)= 1 / (2 * π * √(L(H)* C(F)))
R(Hz)= 1 / (2 * π * √(0.05 * 100 * 10-6))
R(Hz)= 1 / (2 * 3.14 * √(0.000005))
R(Hz)= 1 / (6.2832 * 0.002236)
R(Hz)= 1 / 0.01405
R(Hz)= 71.15 Hz.
- An LC circuit resonates at a frequency of 50 Hz and has an inductance of 0.2 H. Find the capacitance C.
Given: L(H)= 0.2 H, R(Hz)= 50 Hz.
Resonant Frequency, R(Hz)= 1 / (2 * π * √(L(H)* C(F)))
C(F) = [1 / (2 * π * R(Hz))]2 / L(H)
C(F) = [1 / (2 * 3.14* 50)]2 / 0.2
C(F) = [1 / 314.16]2 / 0.2
C(F) = (0.003183)2 / 0.2
C(F) = 0.00001013 / 0.2
C(F) = 50.65 µF.