Question

LC oscillators have been used in circuits connected to loudspeakers to create some of the sounds of electronic music. What inductance must be used with a 6.3 μF capacitor to produce a frequency of 9.8 kHz, which is in the audible range of frequencies?

Answer 1

Answer:

Inductance will be $L=13.8581\times 10^3H$

Explanation:

We have given capacitance $C=6.3\mu F=6.3\times 10^{-6}F$

Frequency is given , $f=9.8KHz$

So angular frequency $\omega =2\pi f=2\times 3.14\times 9.8\times 1000=61544rad/sec$

For LC circuit we know that angular frequency is given by

$\omega =\frac{1}{\sqrt{LC}}$

$61544 =\frac{1}{\sqrt{LC}}$

$3.787\times 10^9=\frac{1}{6.3\times 10^{-6}\times L}$

$L=13.8581\times 10^3H$