1. What is the Tuned Factor of Hybrid Filter?

The Tuned Factor is a dimensionless measure of the sharpness of a resonant circuit in hybrid filters. It indicates how far the operating frequency is from the resonant frequency, providing insight into the filter's performance characteristics.

2. How Does the Calculator Work?

The calculator uses the Tuned Factor formula:

Where:

• \( \delta \) — Tuned Factor (dimensionless)
• \( \omega \) — Angular Frequency (rad/s)
• \( \omega_n \) — Angular Resonant Frequency (rad/s)

Explanation: The formula calculates the relative difference between the operating angular frequency and the resonant angular frequency, normalized by the resonant frequency.

3. Importance of Tuned Factor Calculation

Details: The tuned factor is crucial for analyzing resonant circuits, determining filter sharpness, and optimizing filter performance in various electronic applications.

4. Using the Calculator

Tips: Enter angular frequency and angular resonant frequency in rad/s. Both values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What does a positive tuned factor indicate?
A: A positive tuned factor indicates that the operating frequency is higher than the resonant frequency.

Q2: What does a negative tuned factor indicate?
A: A negative tuned factor indicates that the operating frequency is lower than the resonant frequency.

Q3: What is the significance of tuned factor in filter design?
A: The tuned factor helps determine how sharply a filter responds to frequency changes, which is critical for applications requiring precise frequency selection.

Q4: Can tuned factor be zero?
A: Yes, when the operating frequency equals the resonant frequency, the tuned factor becomes zero, indicating perfect resonance.

Q5: How does tuned factor affect filter bandwidth?
A: Higher absolute values of tuned factor typically correspond to positions further from resonance, affecting the filter's bandwidth and selectivity characteristics.