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  • Need clarity, kindly explain! In series LCR circuit if L is increased by 25% and C is decreased by 20% then the resultant frequency will

In series LCR circuit if L is increased by 25% and C is decreased by 20% then the resultant frequency will 

  • Option 1)

    \uparrow by \: 10\%

  • Option 2)

    \downarrow by \: 10\%

  • Option 3)

    constant

  • Option 4)

    \uparrow by \: 2.5\%

 

Answers (1)

best_answer

\\* T = 2\pi\sqrt{LC} \Rightarrow \nu = \frac{1}{2\pi\sqrt{LC}} \\* given\;\;L' = L + 25\% = \frac{5}{4}L \\* C' = C - \frac{C}{5} = \frac{4}{5}C \\* \Rightarrow \nu ' = \frac{1}{2\pi\sqrt{\frac{5}{4}L\times \frac{4}{5}C}} = \nu \\* \Rightarrow \nu ' = \nu

 

SHM of LC circuit -

T = 2\pi \sqrt{LC}

L = Coefficent of Self Inductance

C= Capacity of Capacitor

- wherein

L\rightarrow Inductor

C\rightarrow Capacitor

* Formula

 

 


Option 1)

\uparrow by \: 10\%

This is incorrect.

Option 2)

\downarrow by \: 10\%

This is incorrect.

Option 3)

constant

This is correct.

Option 4)

\uparrow by \: 2.5\%

This is incorrect.

Posted by

prateek

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