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

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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 ...

  [tex]f=\dfrac{1}{2\pi\sqrt{LC}}[/tex]

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

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

  [tex]f=\dfrac{1}{2\pi\sqrt{0.2\cdot0.1\times10^{-6}}}\approx1125.4[/tex]

The resonant frequency of this circuit is about 1125.4 hertz.

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