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In A.C Circuit inductor & capacitor are in series. Value of inductance is 0.5 H and capacitor of 8 mF. Find out angular frequency

  • Option 1)

    500\: rad/s

  • Option 2)

    5\times10^{4}\: rad/s

  • Option 3)

    400\: rad/s

  • Option 4)

    10\: rad/s

 

Answers (1)

\\* T = 2\pi\sqrt{LC} \Rightarrow \omega_{o} = \frac{2\pi}{T} \\* \omega = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{6.5 \times 8 \times 10^{-6}}} \\* \omega = 500 \; rad/s

 

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)

500\: rad/s

This is correct.

Option 2)

5\times10^{4}\: rad/s

This is incorrect.

Option 3)

400\: rad/s

This is incorrect.

Option 4)

10\: rad/s

This is incorrect.

Posted by

subam

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