Cut Off Frequency Calculator

Cut Off Frequency Formula:

\[ f_c = \frac{1}{2 \pi \sqrt{L C}} \]

Cut Off Frequency (f_c):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Cut Off Frequency?

Cut Off Frequency (f_c) is the frequency at which the output signal of a filter circuit is reduced to half its power, typically measured in Hertz (Hz). It is a critical parameter in filter design and signal processing applications.

2. How Does the Calculator Work?

The calculator uses the cut off frequency formula:

\[ f_c = \frac{1}{2 \pi \sqrt{L C}} \]

Where:

\( f_c \) — Cut off frequency (Hz)
\( L \) — Inductance (Henry)
\( C \) — Capacitance (Farad)
\( \pi \) — Mathematical constant Pi (≈3.1416)

Explanation: The formula calculates the frequency at which an LC filter circuit begins to attenuate the input signal.

3. Importance of Cut Off Frequency Calculation

Details: Accurate cut off frequency calculation is essential for designing filters in electronic circuits, audio systems, radio frequency applications, and signal processing systems to ensure proper frequency response and signal filtering.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of cut off frequency in filter circuits?
A: Cut off frequency determines the point where a filter begins to reject frequencies, defining the filter's bandwidth and performance characteristics.

Q2: How does inductance affect cut off frequency?
A: Higher inductance values result in lower cut off frequencies, while lower inductance values produce higher cut off frequencies.

Q3: How does capacitance affect cut off frequency?
A: Higher capacitance values result in lower cut off frequencies, while lower capacitance values produce higher cut off frequencies.

Q4: Can this formula be used for all types of filters?
A: This specific formula is primarily used for simple LC filters. Different filter types (RC, RLC, active filters) have different cut off frequency formulas.

Q5: What are typical applications of LC filters?
A: LC filters are commonly used in radio frequency circuits, power supplies, audio systems, and communication equipment for signal filtering and noise reduction.