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Resonance Frequency Formula:
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Resonance frequency is the natural frequency at which a system oscillates with maximum amplitude when excited. In LC circuits, it's the frequency at which inductive and capacitive reactances cancel each other out.
The calculator uses the resonance frequency formula:
Where:
Explanation: The formula calculates the frequency at which an LC circuit will naturally oscillate when excited.
Details: Resonance frequency is crucial in designing filters, oscillators, and tuning circuits in electronics. It's used in radio transmitters/receivers, antenna design, and various signal processing applications.
Tips: Enter inductance in Henry (H) and capacitance in Farad (F). Both values must be positive numbers greater than zero for accurate calculation.
Q1: What happens at resonance frequency in an LC circuit?
A: At resonance, the impedance is minimized (ideally zero), and current flow is maximized. The circuit oscillates with maximum energy transfer between the inductor and capacitor.
Q2: How does resistance affect resonance frequency?
A: Resistance doesn't change the resonance frequency itself but affects the quality factor (Q-factor) and bandwidth of the resonance.
Q3: Can this formula be used for series and parallel LC circuits?
A: Yes, the resonance frequency formula is the same for both series and parallel LC circuits.
Q4: What are typical units for inductance and capacitance?
A: Inductance is typically measured in Henry (H), millihenry (mH) or microhenry (μH). Capacitance is measured in Farad (F), microfarad (μF), nanofarad (nF) or picofarad (pF).
Q5: How can I convert between different units?
A: For accurate results, convert all values to base SI units (Henry and Farad) before calculation: 1 H = 1000 mH = 1,000,000 μH; 1 F = 1,000,000 μF = 1,000,000,000 nF = 1,000,000,000,000 pF.