Question

An A.C. voltage of r.m.s. value 0.1 V is applied to an LCR series circuit in which L = 100 µH and C = 9 x 10^-8 F and R = 2 `Omega`. The resonant frequency will be ____________.

Options

• `10^6/pi "Hz"`

• `(166.7 xx 10^3)/pi  "Hz"`

• `5/pi xx 10^4  "Hz"`

• `166.7 pi xx 10^3  "Hz"`

Answer 1

An A.C. voltage of r.m.s. value 0.1 V is applied to an LCR series circuit in which L = 100 µH and C = 9 x 10^-8 F and R = 2 `Omega`. The resonant frequency will be

`166.7 pi xx 10^3  "Hz"`.

Explanation:

`"Using, f"_r = 1/(2pisqrt"LC")`

`= 1/(2 xx pi sqrt(100 xx 10^-6 xx 9 xx 10 ^-8))`

`= 1/(2pi xx 3 xx 10^-6)`

`= 166.7 pi xx 10^3  "Hz"`