![If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would](https://www.gkseries.com/blog/wp-content/uploads/2023/08/If-each-of-the-values-of-inductance-capacitance-and-resistance-of-a-series-LCR-circuit-are-doubled-the-Q-factor-of-the-circuit-would.jpg)
Q. If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would
(A) reduce by a factor √2
(B) reduce by a factor 2
(C) increase by a factor √2
(D) increase by a factor 2
Ans: reduce by a factor 2
Sol:
In a series LCR circuit, Quality factor is given by
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/image-26.png)
Given that each value of inductance capacitance and resistance are double.
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/image-28.png)
Hence, Q – factor of the circuit will reduce by a factor of 2.