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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACQuality and Power factorEasy2 minPYQ_2020

PhysicsEasysingle choice

A $100 V$ $AC$ source of frequency $500 Hz$ is connected to an $LCR$ circuit with $L = 8 .1 mH$ , $C = 12 .5 μF$ and $R = 10 Ω$ all connected in series as shown in figure. What is the quality factor of circuit?

Options:

Answer:

Solution:

Quality factor of series $LCR$ is given by
$Q = \frac{1}{R} \sqrt{\frac{L}{C}}$
$Q = \frac{1}{10} \sqrt{\frac{8.1 \times 1 0^{- 3}}{12.5 \times 1 0^{- 6}}}$
$Q = \frac{1}{10} \sqrt{\frac{81 \times 1 0^{2}}{12.5}}$
$Q = \frac{9}{\sqrt{12.5}} = 2.54$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:EMI/ACSubtopic:Quality and Power factor

⏱ 2mℹ️ Source: PYQ_2020

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