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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 $500 H z$ is connected to an $L C R$ circuit with $L = 8.1 m H$ ,
$C = 12.5 μ F$ , $R = 10 Ω$ all connected in series as shown in the figure. What is the quality factor of the circuit?

Options:

Answer:

Solution:

$Q = \frac{1}{R} \sqrt{\frac{L}{C}}$

$\Rightarrow Q = \frac{1}{10} \sqrt{\frac{8.1 \times 1 0^{- 3}}{12.5 \times 1 0^{- 6}}}$

$\Rightarrow Q = \frac{1}{10} \sqrt{\frac{81 \times 1 0^{3}}{125}}$

$\Rightarrow Q = \sqrt{\frac{81 \times 10}{25 \times 5}}$

$\Rightarrow Q = \frac{9 \times \sqrt{2}}{5} = 2.54$

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

⏱ 2mℹ️ Source: PYQ_2020

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