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What is the formula to calculate the resonant frequency of an RLC circuit?

1 Answer

The resonant frequency of an RLC circuit can be calculated using the following formula:

f = 1 / (2ฯ€โˆš(LC))

Where:
f = Resonant frequency in Hertz (Hz)
L = Inductance of the inductor in Henrys (H)
C = Capacitance of the capacitor in Farads (F)

In this formula, the resonant frequency represents the frequency at which the impedance of the RLC circuit is purely resistive, meaning the reactance from the inductor (XL) and the reactance from the capacitor (XC) cancel each other out. At the resonant frequency, the impedance is at its minimum, and the circuit can experience significant current flow.

Keep in mind that this formula assumes the RLC circuit is ideal, and there are no resistive losses in the inductor or the capacitor. In real-world situations, there will be some resistance in the components, affecting the precise behavior of the circuit.
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