For an RLC circuit driven with voltage of amplitude vm and frequency ω0 = (1/√LC) the current exhibits resonance. The quality factor, Q is given by :

Question

For an RLC circuit driven with voltage of amplitude vm and frequency ω0 = (1/√LC) the current exhibits resonance. The quality factor, Q is given by : (A) (ω0 L/R)  (B) (ω0 R/L)  (C) (R/(ω0 C))  (D) (CR/(ω0))

Tardigrade Admin · Accepted Answer

Quality factor, Q=(ω0/(2 Δ ω)) Q-(ω0 L/R)

Q. For an $R L C$ circuit driven with voltage of amplitude $v_{m}$ and frequency $ω_{0} = \frac{1}{L C}$ the current exhibits resonance. The quality factor, $Q$ is given by :

$\frac{ω _{0} L}{R}$

$\frac{ω _{0} R}{L}$

$\frac{R}{( ω _{0} C )}$

$\frac{CR}{( ω _{0} )}$

Quality factor, $Q = \frac{ω _{0}}{( 2Δ ω )}$
$Q - \frac{ω _{0} L}{R}$

Q. For an RLC circuit driven with voltage of amplitude vm​ and frequency ω0​=LC​1​ the current exhibits resonance. The quality factor, Q is given by :

Rω0​L​

Lω0​R​

(ω0​C)R​

(ω0​)CR​