Question

Calculate the range of the variable capacitor that is to be used in a tuned-collector oscillator which has a fixed inductance of 150 micro H. The frequency band is from 500 kHz to 1500 kHz.​

Answer 1

Answer:

Range of capacitor is given as

$C_{min} = 7.5 \times 10^{-11} Farad$ to $C_{max} = 6.75 \times 10^{-10} farad$

Explanation:

As we know that the frequency of LC oscillation is given as

$f = \frac{1}{2\pi}\sqrt{\frac{1}{LC}}$

now we have

$2\pi f = \sqrt{\frac{1}{LC}}$

so we will have

$C = \frac{1}{4\pi^2 f^2 L}$

$L = 150 \mu H$

$f_1 = 500 kHz$

$C_1 = 6.75 \times 10^{-10} farad$

$f_2 = 1500 kHz$

$C_2 = 7.5 \times 10^{-11} Farad$

#Learn

Topic : LC Oscillation

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