First slide

AC Circuits

Question

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

Moderate

A

15.92 Hz
B

159.2 Hz
C

1592 Hz
D

15910 Hz

Solution

$\begin{array}{l} v_{0} = \frac{1}{2 π \sqrt{LC}} = \frac{1}{2 \times 3 .14 \sqrt{5 \times 10^{- 4} \times 20 \times 10^{- 6}}} \\ v_{0} = \frac{10^{4}}{6 .28} = 1592 Hz \end{array}$

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