Fundamental Frequency Calculator

Fundamental Frequency Formula:

\[ f = \frac{1}{2\pi\sqrt{LC}} \]

Fundamental Frequency (f):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Fundamental Frequency Formula?

The fundamental frequency formula calculates the resonant frequency of an LC circuit, which is determined by the inductance (L) and capacitance (C) values. This frequency represents the natural oscillation frequency where the circuit resonates.

2. How Does the Calculator Work?

The calculator uses the fundamental frequency formula:

\[ f = \frac{1}{2\pi\sqrt{LC}} \]

Where:

\( f \) — Fundamental frequency (Hz)
\( L \) — Inductance (H)
\( C \) — Capacitance (F)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: The formula shows that the resonant frequency is inversely proportional to the square root of the product of inductance and capacitance.

3. Importance of Frequency Calculation

Details: Calculating the fundamental frequency is crucial for designing and analyzing resonant circuits, filters, oscillators, and various electronic applications where specific frequency responses are required.

4. Using the Calculator

Tips: Enter inductance in henries (H) and capacitance in farads (F). Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is an LC circuit?
A: An LC circuit is an electronic circuit consisting of an inductor (L) and a capacitor (C) connected together, which can resonate at a specific frequency.

Q2: How does inductance affect the frequency?
A: Higher inductance values result in lower resonant frequencies, as frequency is inversely proportional to the square root of inductance.

Q3: How does capacitance affect the frequency?
A: Higher capacitance values result in lower resonant frequencies, as frequency is inversely proportional to the square root of capacitance.

Q4: What are typical applications of LC circuits?
A: LC circuits are used in radio tuners, filters, oscillators, impedance matching networks, and various wireless communication systems.

Q5: Can this formula be used for series and parallel LC circuits?
A: Yes, the same fundamental frequency formula applies to both series and parallel LC circuits at resonance.