CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

A circular wire loop of radius R rotates with an angular speed ω in a uniform magnetic field B, as shown in the figure. If the emf ε induced in the loop is ε0 sin ωt, then the angular speed of the loop is

A
εoR/B
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2πεo/R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
εo/(BπR2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
ε20(BR2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A εoR/B
A circular wire loop of radius =R rotate with an
angular speed=ω
in a uniform magnetic field B,
If EMF=ϵ induced in the loop
ϵ0sinωtϵ=ϵ0sinωt
ϵ=dϕdt=ddt(ϵ0sinωt)=ϵ0cosωt×ω=Δ(Blx)Δtϵ=ϵ0ωcosωtϕ=BdA=B×πR2=ϵ0cosωt×ωlx×πR2=ϵ0cosωt×ωdt2R×dx=ϵ0cosωt×ω2R=ϵ0RBxt=ϵ0RB

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Motional EMF
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon