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A square of side 0.5 m has movable sides. It is placed such that it's plane is perpendicular to the field of induction 0.2 T . If all the sides are allowed to move with a speed of 0.1 m/s for 4 s outwards , average induced emf is

Asked by Deepak 31st August 2018, 9:48 PM
Answered by Expert
Answer:
induced emf, begin mathsize 12px style e space 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 space minus B fraction numerator d A over denominator d t end fraction space equals space minus B fraction numerator d over denominator d t end fraction a squared space equals space minus B cross times 2 a cross times fraction numerator d a over denominator d t end fraction end style...........(1)
where Φ is magnetic flux, B is flux density, A is area of square loop and a is side of square loop.
 
at t=0 s, a = 0.5 m,  e = -0.2×2×0.5×0.1 = -0.02 V
at t=4 s, a = 0.9 m, e = -0.2×2×0.9×0.1 = -0.036 V
 
average induced emf = -0.028 V
Answered by Expert 1st September 2018, 3:36 PM
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