wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A wire loop formed by joining two semicircular wires of radii R1 and R2 carries a current I as shown in the following diagram. The magnetic induction at the centre O is :

143637_66b0ba918c53434995ad33342e797f1f.png

A
μ0Iπ4πR1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
μ0Iπ4πR2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
μ0Iπ4π(1R11R2)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
μ0Iπ4π(1R1+1R2)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D μ0Iπ4π(1R1+1R2)
Magnetic field at O due to segments FA and CD is equal to zero.
Magnetic field at O due to semi-circle ABC:12μ0I2R2(^k)
Magnetic field at O due to semi-circle DEF:12μ0I2R1(^k)
Bnet=12μ0I2R2(^k)+12μ0I2R1(^k)=μ0I4(1R1+1R2)(^k)=μ0Iπ4π(1R1+1R2)(^k)where ^k is out of the plane of the loop and perpendicular to the loop
188205_143637_ans.JPG

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