Resonant Frequency Calculator

What is Resonant Frequency?

Resonant frequency is the frequency at which an LC circuit naturally oscillates when driven by a source. At this frequency, the inductive reactance (XL = 2πfL) and capacitive reactance (XC = 1/(2πfC)) are equal in magnitude but opposite in phase, resulting in maximum current flow in the circuit.

How to Use This Calculator

1. Enter the inductance value in Henrys (H) in the "Inductance (L)" field.
2. Enter the capacitance value in Farads (F) in the "Capacitance (C)" field.
3. Click the "Calculate" button to compute the resonant frequency.
4. The calculator will display the resonant frequency in Hertz (Hz).

Principle of Operation

The resonant frequency of an LC circuit is determined by the formula:

f₀ = 1 / (2π√(LC))

Where:

• f₀ is the resonant frequency in Hertz (Hz)
• L is the inductance in Henrys (H)
• C is the capacitance in Farads (F)
• π is the mathematical constant Pi (approximately 3.14159)
• √ represents the square root function

Example Calculation

If you have an inductor with a value of 100 microhenries (100 × 10⁻⁶ H) and a capacitor with a value of 10 picofarads (10 × 10⁻¹² F), the resonant frequency would be:

f₀ = 1 / (2 × π × √(100 × 10⁻⁶ × 10 × 10⁻¹²)) ≈ 159.15 kHz

Applications

LC resonant circuits are used in various applications including:

• Radio and television tuners
• Wireless communication systems
• Filters and oscillators in electronic circuits
• Frequency stabilization in electronic devices