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Resonant Frequency Formula:
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The resonant frequency is the frequency at which an inductor and capacitor in a circuit naturally oscillate when excited by an energy source. It occurs when the inductive reactance and capacitive reactance are equal in magnitude but opposite in phase, causing them to cancel each other out.
The calculator uses the resonant frequency formula:
Where:
Explanation: The formula shows that resonant frequency is inversely proportional to the square root of the product of inductance and capacitance.
Details: Understanding resonant frequency is crucial for designing and analyzing LC circuits, radio transmitters/receivers, filters, and many electronic systems where frequency selection is important.
Tips: Enter inductance in henries and capacitance in farads. Both values must be positive numbers. The calculator will compute the frequency at which the LC circuit will resonate.
Q1: What happens at resonant frequency in an LC circuit?
A: At resonant frequency, the impedance of the LC circuit is minimized (for series circuit) or maximized (for parallel circuit), and energy oscillates between the inductor and capacitor.
Q2: How does changing L or C affect the frequency?
A: Increasing either L or C will decrease the resonant frequency, while decreasing them will increase the frequency.
Q3: What are typical units for practical circuits?
A: Inductance is often in microhenries (μH) and capacitance in picofarads (pF) for RF circuits. The calculator automatically handles any units as long as they're consistent.
Q4: Can this be used for RLC circuits?
A: This formula gives the theoretical resonant frequency. In real circuits with resistance (R), the actual behavior may differ slightly.
Q5: What's the relationship between resonant frequency and bandwidth?
A: The bandwidth (range of frequencies around resonance) depends on the circuit's Q factor, which is determined by the resistance in the circuit.