In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1 and resistance R is 100 . The frequency at which resonance occurs is :-
- 15.9 kHz
- 1.59 rad/s
- 1.59 kHz
- 15.9 rad/s
Answer
(3) 1.59 kHz
Solution
Resonant frequency: f0 = 12 LC
LC = (10 10-3)(1 10-6) = 10-8 s2 LC = 10-4 s
f0 = 12 10-4
= 1.59 103 Hz = 1.59 kHz
(R does not affect the resonant frequency.)
Answer: (3)