CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A series LCR circuit containing 5.0 H inductor, 80 μF capacitor and 40 Ω 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 -

A
42 rad/s and 58 rad/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
25 rad/s and 75 rad/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
50 rad/s and 25 rad/s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
46 rad/s and 54 rad/s
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 46 rad/s and 54 rad/s
The resonance frequency of LCR series circuit is given as,

ω0=1LC=15×80×106=50 rad/s

Now, half power frequencies are given as,

ω=ω0±R2L

So,

ωL=50402×5=46 rad/s

ωH=50+402×5=54 rad/s

Hence, option (D) is the correct answer.

flag
Suggest Corrections
thumbs-up
224
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Problem on Concentration
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon