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In the LCR circuit, capacitance is chang...

In the LCR circuit, capacitance is changed from C to 2C. For the resonant frequency to remain unchanged what should be the change in the value of inductance L?

Text Solution

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Resonant frequency, `f_0=1/(2pisqrt(LC))`
For `f_0` to be constant, LC= constant.
If C is made 2C and the changed value of L is L'
then, `LC=L'2C`or `L'=1/2`
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