1. What is Series Resonant Frequency?

Definition: The frequency at which the inductive and capacitive reactances in a series circuit cancel each other out, resulting in minimum impedance.

Purpose: This calculation is essential for designing and analyzing LC circuits, filters, and RF applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( f \) — Resonant frequency (Hz)
• \( L \) — Inductance (H)
• \( C \) — Capacitance (F)
• \( \pi \) — Pi constant (~3.14159)

Explanation: The resonant frequency occurs when the energy stored in the inductor's magnetic field equals the energy stored in the capacitor's electric field.

3. Importance of Resonant Frequency

Details: Knowing the resonant frequency helps in designing radio transmitters/receivers, filters, and tuning circuits to specific frequencies.

4. Using the Calculator

Tips: Enter the inductance in Henries and capacitance in Farads. Both values must be > 0. Common prefixes:

• Inductance: mH (10⁻³), μH (10⁻⁶), nH (10⁻⁹)
• Capacitance: μF (10⁻⁶), nF (10⁻⁹), pF (10⁻¹²)

5. Frequently Asked Questions (FAQ)

Q1: What happens at resonant frequency?
A: In a series LC circuit, impedance is minimized and current is maximized.

Q2: How does changing L or C affect frequency?
A: Increasing either L or C decreases the resonant frequency, and vice versa.

Q3: What are typical values for L and C?
A: RF circuits might use μH and pF, while audio circuits might use mH and μF.

Q4: Can I use this for parallel resonance?
A: The formula is the same, but the circuit behavior differs (maximum impedance at resonance).

Q5: What about resistance in the circuit?
A: Resistance affects the Q factor and bandwidth but not the resonant frequency itself.