Resonant Frequency Formula:
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Definition: This calculator determines the resonant frequency of an LC circuit (inductor-capacitor circuit) based on the inductance and capacitance values.
Purpose: It helps electronics engineers, students, and hobbyists design and analyze resonant circuits used in radios, filters, and oscillators.
The calculator uses the formula:
Where:
Explanation: The resonant frequency is where the inductive and capacitive reactances cancel each other out, creating a peak in circuit response.
Details: Accurate resonant frequency calculation is crucial for designing radio transmitters/receivers, filters, impedance matching networks, and energy storage circuits.
Tips: Enter the inductance in Henries and capacitance in Farads. Both values must be > 0. For small values, use scientific notation (e.g., 0.000001 = 1e-6).
Q1: What happens at resonant frequency?
A: At resonance, the circuit exhibits maximum current flow and minimum impedance (for series RLC) or maximum impedance (for parallel RLC).
Q2: How does resistance affect resonance?
A: Resistance doesn't change the resonant frequency but affects the sharpness (Q factor) of the resonance peak.
Q3: What are typical inductance values?
A: Common values range from nanohenries (nH) for RF circuits to millihenries (mH) for power applications.
Q4: What are typical capacitance values?
A: Common values range from picofarads (pF) for RF circuits to microfarads (μF) for power applications.
Q5: Can this be used for RLC circuits?
A: Yes, the resonant frequency formula is the same for RLC circuits, though resistance affects other characteristics like bandwidth.