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A conducting circular loop of area 2 . 5 × 10 - 3   m 2 and resistance 10   Ω is placed perpendicular to a uniform time varying magnetic field B t = 0.6 sin 50 π t   T . What is the net charge (in mC ) flowing through the loop during t = 0 and t = 10   ms ?

Correct answer

1.5

Step-by-step solution

Net charge = Δ ϕ R = A B 2 - B 1 R = 2 . 5 × 10 - 3 ( 0 . 6 ) sin 50 π ( 10 ) 10 3 - sin 0 = 1 . 5 × 10 - 3 sin π 2 - sin 0 = 1 . 5 × 10 - 3 C = 1 . 5 mC

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