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CUET · PHYSICS · PYQ PAPER 2023

Which of the following combinations should be used for better tuning of an LCR circuit used for communication?

  1. A \( R = 25\Omega, L = 1.5\text{H}, C = 35\mu\text{F} \)
  2. B \( R = 25\Omega, L = 2\text{H}, C = 45\mu\text{F} \)
  3. C \( R = 15\Omega, L = 3.5\text{H}, C = 30\mu\text{F} \)
  4. D \( R = 15\Omega, L = 1\text{H}, C = 40\mu\text{F} \)
Verified Solution

Answer & Solution

Correct Answer

(C) \( R = 15\Omega, L = 3.5\text{H}, C = 30\mu\text{F} \)

Step-by-step Solution

Detailed explanation

\( Q = \frac{1}{R} \sqrt{\frac{L}{C}} \) \( Q_1 = \frac{1}{25} \sqrt{\frac{1.5}{35 \times 10^{-6}}} \approx 8.28 \) \( Q_2 = \frac{1}{25} \sqrt{\frac{2}{45 \times 10^{-6}}} \approx 8.43 \) \( Q_3 = \frac{1}{15} \sqrt{\frac{3.5}{30 \times 10^{-6}}} \approx 22.78 \)…
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