Assertion (A): Quality factor of a series LCR circuit is \[\operatorname{Q}=\frac{1}{\operatorname{R}}\sqrt{\frac{L}{C}}\] |
Reason (R): As bandwidth decreases, Q increases in a resonant LCR circuit. |
A) Both A and R are true and R is the correct explanation of A
B) Both A and R are true but R is NOT the correct explanation of A
C) A is true but R is false
D) A is false and R is true
Correct Answer: B
Solution :
Option [b] is correct |
Explanation: Quality factor of a series LCR circuit is \[\operatorname{Q}=\frac{1}{\operatorname{R}}\sqrt{\frac{L}{C}}\]. Assertion is true. |
Quality factor is also defined as |
\[\operatorname{Q}=\frac{Resonant\ frequency}{Bandwidth}\]. So, as bandwidth decreases, Q increases. So, reason is also true. But reason does not explain the assertion. |
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