In an A.C. circuit of inductance 50 mH w...

In an A.C. circuit of inductance 50 mH with negligible resistance and a capacitor of capacitance 500 pF are connected in series. The resonance frequency for the given circuit is ……….

A

`10^5/pi` Hz

B

`1/pi` Hz

C

`100/pi` Hz

D

`1000/pi` Hz

Text Solution

Verified by Experts

The correct Answer is:

A

`L=50xx10^(-3) H, C= 500xx10^(-12)` F
`f=1/(2pisqrt(LC))`
`=1/(2pisqrt(50xx10^(-3)xx500xx10^(-12)))`
`=10^6/(10pi)`
`therefore f=10^5/pi` Hz

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