In an L-C-R series resonant circuit which one of the following cannot be the expression for the Q-factor

Question

In an L-C-R series resonant circuit which one of the following cannot be the expression for the Q-factor (A)  (ω L/R)  (B)  (1/ω CR)  (C)  √(L/C)(1/R)  (D)  (R/LC)

Tardigrade Admin · Accepted Answer

Q-factor =(VL/VR) or (VC/VR)=(ω0 L/R) or (1/ω0 C R) ⇒ Q-factor =(1/R) √(L/C)

Q. In an $L - C - R$ series resonant circuit which one of the following cannot be the expression for the $Q$ -factor

$\frac{ω L}{R}$

$\frac{1}{ω CR}$

$\frac{L}{C} \frac{1}{R}$

$\frac{R}{L C}$

Q-factor $= \frac{V _{L}}{V _{R}}$
or $\frac{V _{C}}{V _{R}} = \frac{ω _{0} L}{R}$
or $\frac{1}{ω _{0} CR}$
$\Rightarrow Q$ -factor $= \frac{1}{R} \frac{L}{C}$

Q. In an L−C−R series resonant circuit which one of the following cannot be the expression for the Q-factor

RωL​

ωCR1​

CL​​R1​

LCR​