Question

a parallel L-C circuit comprise of a 5H inductor and 5uF capacitor. calculate resonant frequency of the circuit​

Answer 1

Answer:

Explanation:

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Answer 2

The resonant frequency of the circuit is 31.83 Hz.

Explanation:

Given that,

Inductance, $L=5\ H$

Capacitance, $C=5\ \mu F=5\times 10^{-6}\ F$

The resonant frequency occurs when the inductive reactance is equal to the inductive reactance. Let f is the resonant frequency of the circuit. It is given by :

$f=\dfrac{1}{2\pi \sqrt{LC} }\\\\f=\dfrac{1}{2\pi \sqrt{5\times 5\times 10^{-6}} }\\\\f=31.83\ Hz$

So, the resonant frequency of the circuit is 31.83 Hz. Hence, this is the required solution.

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