Question

A coil of 16 mH and a capacitor of 10 µF are in series with an A.C source along with 5 `Omega` resistances. If inductive reactance is equal to capacitive reactance, then the angular frequency (in rad/s) of source is ____________.

Options

• 2500

• 5 x 10⁴

• 500

• 50

Answer 1

A coil of 16 mH and a capacitor of 10 µF are in series with an A.C source along with 5 `Omega` resistances. If inductive reactance is equal to capacitive reactance, then the angular frequency (in rad/s) of source is 2500.

Explanation:

Given that, X_L= X_C

`therefore omega = 1/sqrt"LC"`

`1/sqrt(16 xx 10^-3 xx 10 xx 10^-6)`

`= 1/sqrt(16 xx 10^-8)`

`= 1/(4 xx 10^-4)`

`= 10^4/4`

`= 2500  "rad/s"`