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AIIMS 2016
Exam
AIIMS
Year
2016
Subject
Physics
Chapter
Alternating Current

AIIMS 2016 · Physics · Alternating Current

A series resonant L C R circuit has a quality factor (Q-factor) 0.4...

A series resonant LCRL C R circuit has a quality factor (Q-factor) 0.4 . If R=2kΩ,C=0.1μFR=2 \mathrm{k} \Omega, C=0.1 \mu \mathrm{F}, then the value of inductance is

Options

  1. A0.1H0.1 \mathrm{H}
  2. B0.064H0.064 \mathrm{H}
  3. C2H2 \mathrm{H}
  4. D5H5 \mathrm{H}

Correct answer

B. 0.064H0.064 \mathrm{H}

Step-by-step solution

 Q=1RLC or  LC=(QR)2∴L=(0.4×2×103)2×0.1×10−6=0.064H\begin{aligned} & \text{ } Q=\frac{1}{R} \sqrt{\frac{L}{C}} \text{\text{ or } } \frac{L}{C}=(Q R)^2 \\ & \therefore \quad L=\left(0.4 \times 2 \times 10^3\right)^2 \times 0.1 \times 10^{-6}=0.064 \mathrm{H}\end{aligned}
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