A series LCR circuit containing inductor, capacitor and resistor is connected to variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:
- Aand
- Band
- Cand
- Dand
Solution & Step-by-step Explanation
Resonant angular frequency $
\Delta \omega = \omega_2 - \omega_1 = \frac{R}{L}
$\Delta \omega = \frac{40}{5} = 8\,\text{rad/s}
The half-power frequencies are :
\Delta \omega = \omega_2 - \omega_1 = \frac{R}{L}
$\Delta \omega = \frac{40}{5} = 8\,\text{rad/s}
The half-power frequencies are :