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Home / Doubts and Solutions/NEET/Physics

A conducting circular loop is in perpendicular magnetic field of 0.01 T . If the radius of the loop starts shrinking at a uniform rate of 1 mm/s  , then the emf induced in the loop at the instant when it's radius is 10cm will be

Asked by Deepak 31st August 2018, 9:58 PM
Answered by Expert
Answer:
induced emf, e = - dφ/dt , where φ is magnetic flux, given by φ = B×A .
B is magnetic field flux density and A is area of loop.
 
let r be radius that is keep on shrinking at the rate dr/dt = 1 mm/s
 
hence induced emf when radius is 10 cm is given by,
e begin mathsize 12px style equals space minus fraction numerator d ϕ over denominator d t end fraction space equals space minus fraction numerator d over denominator d t end fraction open parentheses B cross times A close parentheses space equals negative B cross times 2 pi cross times r fraction numerator d r over denominator d t end fraction space equals space 0.01 cross times 2 pi cross times 10 cross times 10 to the power of negative 2 end exponent cross times 10 to the power of negative 3 end exponent equals 2 pi cross times 10 to the power of negative 6 end exponent V end style
Answered by Expert 1st September 2018, 12:03 PM
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