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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?

Respuesta :

Answer:

Inductance will be [tex]L=13.8581\times 10^3H[/tex]

Explanation:

We have given capacitance [tex]C=6.3\mu F=6.3\times 10^{-6}F[/tex]

Frequency is given , [tex]f=9.8KHz[/tex]

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

For LC circuit we know that angular frequency is given by

[tex]\omega =\frac{1}{\sqrt{LC}}[/tex]

[tex]61544 =\frac{1}{\sqrt{LC}}[/tex]

[tex]3.787\times 10^9=\frac{1}{6.3\times 10^{-6}\times L}[/tex]

[tex]L=13.8581\times 10^3H[/tex]

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