Consider the circuit as shown in the figure below:

F3 Savita Engineering 20.05.2022 D24

The Q-factor of the inductor is

This question was previously asked in
BPSC AE Paper 5 (Electrical) 25 Mar 2022 Official Paper
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  1. \(\sqrt {20} \)
  2. \(\sqrt {18} \)
  3. \(\sqrt {50} \)
  4. \(\sqrt {49}\)

Answer (Detailed Solution Below)

Option 1 : \(\sqrt {20} \)
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Detailed Solution

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Concept:

The quality factor is given by:

\(Q ={1\over R} {\sqrt{L\over C }}\)

where Q = Quality factor

R = Resistance

L = Inductor

C = Capacitance

Calculation:

Given R= 5Ω, L= 1H, C= 2mF

\(Q ={1\over 5} {\sqrt{1\over 2\times 10^{-3} }}\)

\(Q = {\sqrt{1000\over 2\times 25 }}\)

\(Q ={\sqrt{20 }}\)

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