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Passive LC Filter Calculator

Passive LC Filter Equation:

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

H (Henries)
F (Farads)

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1. What is a Passive LC Filter?

A passive LC filter is an electronic circuit consisting of inductors (L) and capacitors (C) that filters signals by attenuating frequencies above or below the cutoff frequency. It's called "passive" because it doesn't require an external power source.

2. How Does the Calculator Work?

The calculator uses the LC filter equation:

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

Where:

Explanation: The cutoff frequency is the point where the filter begins to attenuate the signal, calculated based on the values of the inductor and capacitor.

3. Importance of Cutoff Frequency

Details: The cutoff frequency determines which frequency components of a signal are passed through the filter and which are attenuated. It's crucial for designing audio systems, radio frequency circuits, and power supplies.

4. Using the Calculator

Tips: Enter the inductance in Henries and capacitance in Farads. Both values must be positive numbers. For small values, you can use scientific notation (e.g., 0.000001 for 1μH or 1μF).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between low-pass and high-pass LC filters?
A: The same equation applies, but the circuit configuration differs. A low-pass filter passes frequencies below fc, while a high-pass passes frequencies above fc.

Q2: What are typical values for L and C?
A: Common values range from μH to mH for inductors and pF to μF for capacitors, depending on the application frequency range.

Q3: How does component quality affect the filter?
A: Real components have resistance (ESR in capacitors, wire resistance in inductors) which affects the filter's performance, especially at high frequencies.

Q4: Can I cascade multiple LC filters?
A: Yes, cascading filters creates a steeper roll-off, but the interaction between stages affects the overall response.

Q5: What's the difference between LC and RC filters?
A: LC filters are more efficient at higher frequencies and can handle more power, while RC filters are simpler and cheaper but less efficient.

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