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A coil having 200 turns has a surface area of 0.15 m². A magnetic field of strength 0.2 T applied perpendicular to it changes to 0.6 T in 0.4 s. The induced emf in the coil is _____ V.

Asked in GUJCET 2018 · Flux change and induced EMF

Answer: (2) 30

Step-by-step solution

Given: N = 200, A = 0.15 m², B changes from 0.2 T to 0.6 T in Δ t = 0.4 s.

Idea: Faraday's law, |ε| = N(ΔΦ)/(Δ t) = (NA Δ B)/(Δ t) for a field perpendicular to the coil.

Δ B = 0.6 - 0.2 = 0.4 T.

|ε| = (200×0.15×0.4)/(0.4) = 30 V.

Why the other options are wrong

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