1. What is Resonant Frequency?

Resonant frequency is the frequency at which a circuit naturally oscillates with maximum amplitude. For RC circuits, it's determined by resistance and capacitance. For RLC circuits, it's determined by inductance and capacitance.

2. How Does the Calculator Work?

The calculator uses these equations:

Where:

• \( f \) — Resonant frequency in Hertz (Hz)
• \( R \) — Resistance in Ohms (Ω)
• \( C \) — Capacitance in Farads (F)
• \( L \) — Inductance in Henrys (H)
• \( \pi \) — Mathematical constant (~3.14159)

Explanation: The RC formula calculates the cutoff frequency, while the RLC formula calculates the natural resonant frequency of an LC circuit.

3. Importance of Resonant Frequency

Details: Knowing the resonant frequency is crucial for designing filters, tuning circuits, and preventing unwanted oscillations in electronic systems.

4. Using the Calculator

Tips: Select circuit type (RC or RLC), then enter the required values. For RC circuits, enter R and C. For RLC circuits, enter L and C. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between RC and RLC resonant frequencies?
A: RC circuits have a cutoff frequency (not true resonance), while RLC circuits have a natural resonant frequency where energy oscillates between inductor and capacitor.

Q2: What are typical units for these calculations?
A: Resistance in Ω (often kΩ or MΩ), capacitance in F (often μF or pF), inductance in H (often mH or μH).

Q3: Does resistance affect RLC resonant frequency?
A: Resistance affects damping and bandwidth but not the fundamental resonant frequency in RLC circuits.

Q4: What happens at resonant frequency?
A: In RLC circuits, impedance is minimized (series) or maximized (parallel), and energy transfer is most efficient.

Q5: Can I calculate component values for a desired frequency?
A: Yes, rearrange the formulas to solve for L, C, or R based on your target frequency.