Question

Calculate the quality factor of series LCR circuit with L = 2.0 H ,C = 2 microfarad and R = 10 ohm mention the significance of quality factor in LCR circuit

Answer 1

Answer :

Inductance (L) = 2H

Capacitance (C) = 2μF

Resistance (R) = 10Ω

We have to find Q-factor of LCR circuit$.$

★ Formula of Q-factor or Quality factor of LCR circuit is given by

• Q = 1/R × √(L/C)

➠ Q = 1/R × √(L/C)

➠ Q = 1/10 × √(2/2×10‾6)

➠ Q = 1/10 × √(10⁶)

➠ Q = 10³/10

➠ Q = 100

➤ Significance of Q-factor :

• The Q factor or quality factor gives the sharpness of resonance obtained in the LCR circuit.
• If Q value is more, then the resonance will be very sharp and if it is less then resonance will be weak giving rise to weaker circuit.

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