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NCERT Class XII Chapter
Alternating Current
Questions With Solutions

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Question : 6
Total: 26
Obtain the resonant frequency ωr of a series LCR circuit with L = 2.0 H, C = 32 µF and R = 10 Ω. What is the Q-value of this circuit?
Solution:  
Resonant angular frequency in series LCR circuit
ωr =
1
√LC
 =
1
√2×32×10−6
 = 125 rad/s
Quality factor Q =
1
R
√
L
C
 =
1
10
√
2
32×10−6
 = 25
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