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Question: An oscillator circuit consists of an inductance of 0.5mH and a capacitor of 20\(\mu F\). The resonan...

An oscillator circuit consists of an inductance of 0.5mH and a capacitor of 20μF\mu F. The resonant frequency of the circuit is nearly

A

15.92 Hz

B

159.2 Hz

C

1592 Hz

D

15910 Hz

Answer

1592 Hz

Explanation

Solution

ν0=12πLC=12×3.145×10−4×20×10−6\nu_{0} = \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2 \times 3.14\sqrt{5 \times 10^{- 4} \times 20 \times 10^{- 6}}}

ν0=1046.28=1592Hz\nu_{0} = \frac{10^{4}}{6.28} = 1592Hz