1. What is Cut Off Frequency?

The cut off frequency (f_c) is the frequency at which the output signal of a filter circuit is reduced to half its power (approximately -3dB). It marks the boundary between passed and attenuated frequencies in filter circuits.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( f_c \) — Cut off frequency (Hz)
• \( L \) — Inductance (Henry)
• \( C \) — Capacitance (Farad)
• \( \pi \) — Pi constant (~3.14159)

Explanation: The formula calculates the resonant frequency of an LC circuit, which determines the cut off point for filtering.

3. Importance of Cut Off Frequency

Details: Cut off frequency is crucial in designing filters for audio processing, radio communications, and signal conditioning. It determines which frequency components pass through a circuit.

4. Using the Calculator

Tips: Enter inductance in Henry (H) and capacitance in Farad (F). Both values must be positive numbers. The calculator will compute the cut off frequency in Hertz (Hz).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between cut off frequency and resonant frequency?
A: For simple LC circuits, they're the same. In more complex filters, they may differ based on design.

Q2: How does changing L or C affect the cut off frequency?
A: Increasing either L or C decreases the cut off frequency, and vice versa. The relationship is inversely proportional to the square root of their product.

Q3: Can this formula be used for all filter types?
A: This specific formula applies to simple LC filters. Other filter types (RC, RL, RLC) have different formulas.

Q4: What are practical units for L and C in real circuits?
A: Typical values might be in millihenries (mH) and microfarads (μF) for audio frequencies, or smaller for RF applications.

Q5: How accurate is this calculation?
A: It's theoretically accurate for ideal components. Real-world components have parasitic effects that may slightly alter the actual cut off frequency.