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

Inductance will be
`L=13.8581* 10^3H`

Step-by-step explanation:

We have given capacitance
`C=6.3\mu F=6.3* 10^(-6)F`

Frequency is given ,
`f=9.8KHz`

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

For LC circuit we know that angular frequency is given by

`\omega =(1)/(√(LC))`

`61544 =(1)/(√(LC))`

`3.787* 10^9=(1)/(6.3* 10^(-6)* L)`

`L=13.8581* 10^3H`