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  4. In a LC circuit, angular frequency at resonance is ω. What will be the new angular frequency when inductor's inductance is made 2 times and capacitance is made 4 times?

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Q. In a LC circuit, angular frequency at resonance is $\omega$. What will be the new angular frequency when inductor's inductance is made $2$ times and capacitance is made $4$ times?

JIPMERJIPMER 2018Alternating Current

Solution:

$=\frac{1}{\sqrt{LC}}$
Now if L' = 2L, C' = 4C
$'=\frac{1}{\sqrt{2L\cdot4C}}$
$'=\frac{1}{2\sqrt{2}}. \frac{1}{\sqrt{LC}}=\frac{ }{2\sqrt{2}}$