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Question: Answered & Verified by Expert
An inductor of inductance $\mathrm{L}$, a capacitor of capacitance $\mathrm{C}$ and a resistor of resistance $\mathrm{R}$ are connected in series to an ac source. The quality factor of the circuit is
PhysicsAlternating CurrentAP EAMCETAP EAMCET 2023 (18 May Shift 1)
Options:
  • A $\sqrt{\frac{\mathrm{L}}{\mathrm{CR}^2}}$
  • B $\sqrt{\frac{\mathrm{LR}^2}{\mathrm{C}}}$
  • C $\sqrt{\frac{\mathrm{LC}}{\mathrm{R}^2}}$
  • D $\sqrt{\frac{\mathrm{L}^2 \mathrm{C}}{\mathrm{R}}}$
Solution:
1528 Upvotes Verified Answer
The correct answer is: $\sqrt{\frac{\mathrm{L}}{\mathrm{CR}^2}}$


Quality factor is given as
$\mathrm{Q}=\frac{\omega_0 \mathrm{~L}}{\mathrm{R}}=\sqrt{\frac{\mathrm{L}}{\mathrm{R}^2 \mathrm{C}}}$

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