Question

A series RLC circuit contains an inductor with a value of 200 millihenries and a capacitor with a value of 0.1 microfarad. What is the resonant frequency of this circuit

Answer 1

1125.4 Hz

Explanation:

The resonant frequency is the frequency at with the inductive reactance is equal to the capacitive reactance. It is given by the relation ...

`f=(1)/(2\pi√(LC))`

where L is in henries, and C is in farads.

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For the given circuit values, the resonant frequency is ...

`f=\frac{1}{2\pi\sqrt{0.2\cdot0.1*10^(-6)}}\approx1125.4`

The resonant frequency of this circuit is about 1125.4 hertz.