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Class 12 NEET Physics Electromagnetic Induction and Alternating Currents
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© examsnet.com
Question : 27
Total: 114
A series LCR circuit containing 5.0 H inductor, 80 µF capacitor and 40 resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be
[NEET 2021]
25 rad/s and 75 rad/s
50 rad/s and 25 rad/s
46 rad/s and 54 rad/s
42 rad/s and 58 rad/s
Validate
Solution:
👈: Video Solution
The resonance frequency of LCR series circuit is given as
ω
0
=
1
√
L
C
=
1
√
5
×
80
×
10
−
6
=
50
r
a
d
∕
s
Now half power frequencies are given as
ω
=
ω
0
±
R
2
L
i.e.
ω
L
=
50
−
40
2
×
5
=
46
rad/s
ω
H
=
50
+
40
2
×
5
=
54
rad/s
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