LC oscillators have. been used to circuits. connected to loud speakers to create some of the sounds of electronic musc. What indductance mus

Question

LC oscillators have. been used to circuits. connected to loud speakers to create some of the sounds of electronic musc. What indductance must be usedd with a 6.7 uF capacito r to prodice a frequncy of 10

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1 year 2021-09-03T04:23:08+00:00 1 Answers 5 views 0

$$3.8\times 10^{-8}\ H$$

Explanation:

Given the $$6.7\mu F$$ capacitor is used in an LC circuit to produce $$10\ kHz$$ frequency.

We need to find the value of inductance required.

As we know the relation between angular frequency in $$rad/sec$$ and frequency in $$Hz$$ is.

$$\omega =2\times \pi\times f$$

Where $$\omega$$ is angular frequency and $$f$$ is frequency.

$$\omega=2\times \pi\times 10\times 1000=20000\pi\ rad/sec\\\omega=62832\ rad/sec$$

Also, the relation between the angular frequency, capacitance and inductance is given by.

$$\omega^2=\frac{1}{LC}\\\\L=\frac{1}{\omega^2C} \\\\L=\frac{1}{62832^2\times6.7\times 10^{-6} } \\\\L=\frac{1}{26451}.\\ \\L=3.8\times 10^{-8}\ H$$

So, $$3.8\times 10^{-8}\ H$$ inductance will be required to produce $$10\ kHz$$.