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  • In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes x times its initial resonant freque

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then
the resonant frequency of oscillator becomes x times its initial resonant frequency  \omega_0 The value of x is:

Option: 1

4


Option: 2

1 / 16


Option: 3

16


Option: 4

1 / 4


Answers (1)

best_answer

\begin{aligned} & \omega=\frac{1}{\sqrt{\mathrm{LC}}} \\ & \frac{\omega_1}{\omega_2}=\sqrt{\frac{\mathrm{L}_2 \mathrm{C}_2}{\mathrm{~L}_1 \mathrm{C}_1}}=\sqrt{\frac{2 \mathrm{~L} \cdot 8 \mathrm{C}}{\mathrm{L} \cdot \mathrm{C}}}=4 \\ & \omega_2=\frac{\omega_1}{4}=\frac{\omega_0}{4} \end{aligned}

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Gaurav

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