The magnitude of the induced emf in a coil varies with time t according to the equation |e| = 4t + 2 (where e is in volts and t is in seconds). The magnitude of the change in magnetic flux linked with the coil during the time interval from t = 1 s to t = 3 s is:

Step-by-step solution

From Faraday's law of electromagnetic induction, the magnitude of induced emf is given by |e| = d dt . This implies that the change in magnetic flux d = |e| dt . To find the total change in magnetic flux from t = 1 s to t = 3 s , we integrate the emf equation: = ₁³ (4t + 2) dt = [ 4t^2 2 + 2t ]₁³ = [ 2t^2 + 2t ]₁³ Substituting the upper and lower limits: = ( 2(3)^2 + 2(3) ) - ( 2(1)^2 + 2(1) ) = (18 + 6) - (2 + 2) = 24 - 4 = 20 Wb Answer: 20 Wb