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JEE Mains · Physics · STD 12 -7. Alternating current

An \(AC\) circuit has \(R =100 \Omega, C =2\, \mu F\) and \(L =80\, mH ,\) connected in series. The quality factor of the circuit is\(.......\)

  1. A \(0.5\)
  2. B \(2\)
  3. C \(20\)
  4. D \(400\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2\)

Step-by-step Solution

Detailed explanation

\(Q =\frac{1}{ R } \sqrt{\frac{ L }{ C }}=\frac{1}{100} \sqrt{\frac{80 \times 10^{-3}}{2 \times 10^{-6}}}\) \(=\frac{1}{100} \sqrt{40 \times 10^{3}}\) \(=\frac{200}{100}=2\)
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