AP EAMCET · PHYSICS · Alternating Current
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
- 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 \(\sqrt{\frac{\mathrm{L}^2 \mathrm{C}}{\mathrm{R}}}\)
Answer & Solution
Correct Answer
(A) \(\sqrt{\frac{\mathrm{L}}{\mathrm{CR}^2}}\)
Step-by-step Solution
Detailed explanation
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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