The magnitude of the induced emf in a conducting coil varies with time t as e = 6t + 4 V . The magnitude of the change in magnetic flux linked with the coil between t = 1 s and t = 3 s is:

Step-by-step solution

According to Faraday's law of electromagnetic induction, the magnitude of induced emf is given by: e = | d dt | The magnitude of the change in magnetic flux is the integral of the emf over the given time interval: | | = _ t₁ ^ t₂ e , dt Given e = 6t + 4 , we integrate from t = 1 s to t = 3 s : | | = ₁³ (6t + 4) , dt | | = [ 3t^2 + 4t ]₁³ | | = (3(3)^2 + 4(3)) - (3(1)^2 + 4(1)) | | = (27 + 12) - (3 + 4) | | = 39 - 7 = 32 Wb Answer: 32 Wb