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

Answer:

  1125.4 Hz

Step-by-step explanation:

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

  $f=\dfrac{1}{2\pi\sqrt{LC}}$

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

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

  $f=\dfrac{1}{2\pi\sqrt{0.2\cdot0.1\times10^{-6}}}\approx1125.4$

The resonant frequency of this circuit is about 1125.4 hertz.