TS EAMCET · Physics · Alternating Current
The Q-value of a series LCR circuit with \(\mathrm{L}=2 \mathrm{H}\), \(\mathrm{C}=32 \mu \mathrm{F}, \mathrm{R}=20 \Omega\) is
- A 12.5
- B 25
- C 50
- D 125
Answer & Solution
Correct Answer
(A) 12.5
Step-by-step Solution
Detailed explanation
We know that \[ \begin{aligned} & \mathrm{Q}=\frac{1}{\mathrm{R}} \sqrt{\frac{\mathrm{L}}{\mathrm{C}}}=\frac{1}{20} \sqrt{\frac{2}{32 \times 10^{-6}}} \\ & =\frac{1}{20} \times \frac{1}{4 \times 10^{-3}}=12.5 \end{aligned} \]
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