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A non conducting ring of radius r has a charge Q. A magnetic field is acting perpendicular to the plane of ting and is changing at a rate if dB/dt. What is torque experienced by the ring.

Asked by anirbanbag81 23rd March 2018, 9:57 AM
Answered by Expert
Answer:
Change in magnetic flux  gives Electrical field. This electrical field E and  change in magneti flux dΦ/dt are related as follows
 
begin mathsize 12px style contour integral E times d l space equals negative space fraction numerator d ϕ over denominator d t end fraction end style
if we assume E is uniform over the ring, then begin mathsize 12px style E times 2 pi r space equals space pi r squared fraction numerator d B over denominator d t end fraction end style; we get begin mathsize 12px style E space equals space 1 half fraction numerator d B over denominator d t end fraction r end style
then torque = force × distance = (QE)×r begin mathsize 12px style equals space 1 half fraction numerator d B over denominator d t end fraction Q space r squared end style
Answered by Expert 23rd March 2018, 11:13 AM
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