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Calculating resonant frequency

المؤلف:  Stan Gibilisco

المصدر:  Teach Yourself Electricity and Electronics

الجزء والصفحة:  319

3-5-2021

2165

Calculating resonant frequency

The formula for calculating resonant frequency f_o, in terms of the inductance L in henrys and the capacitance C in farads, is

The 1/2 power is the square root.
If you know L and C in henrys and farads, and you want to find f_o, do these calculations in this order: First, find the product LC, then take the square root, then divide 0.159 by this value. The result is f_o in hertz.
The formula will also work to find f_o in megahertz (MHz), when L is given in microhenrys (μH) and C is in microfarads (μF). These values are far more common than hertz, henrys, and farads in electronic circuits. Just remember that millions of hertz go with millionths of henrys and millionths of farads.
This formula works for both series-resonant and parallel-resonant RLC circuits.