A coil of inductance 10 H and resistance 40 ohm is connected in series with a capacitance and supplied by a source of variable frequency. If the maximum current is found at frequency 1000 rad/sec, then Q-factor of the circuit will be _______.

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SSC JE Electrical 07 Jun 2024 Shift 3 Official Paper - 1
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  1. 250
  2. 200
  3. 25
  4. 100

Answer (Detailed Solution Below)

Option 1 : 250
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Detailed Solution

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Quality factor: The ratio of reactance and resistance gives the quality factor of a circuit.

\(QF={X_L\over R}={ω L\over R}\)

where, ω = Angular frequency

L = Inductance

R = Resistance

Calculation

Given, L = 10 H

R =  40 Ω 

ω = 1000 rad/sec

\(QF={1000\times 10\over 40}\)

QF = 250

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