MHT CET202619 April 2026Morning ShiftPhysicsElectromagnetic InductionActual
Magnetic flux linked with the coil in weber is given by the equation = 5t^2 + 6t + 11 . The e.m.f. induced in the coil in the 5^ th second will be
Options
- A10 V
- B51 V
- C102 V
- D166 V
Correct answer
B. 51 V
Step-by-step solution
The magnetic flux is given by = 5t^2 + 6t + 11 . The e.m.f. induced in the 5^ th second is the average e.m.f. from t = 4 s to t = 5 s. The magnitude of the average induced e.m.f. is e = t = (5) - (4) 5 - 4 . (5) = 5(5)^2 + 6(5) + 11 = 125 + 30 + 11 = 166 Wb (4) = 5(4)^2 + 6(4) + 11 = 80 + 24 + 11 = 115 Wb e = 166 - 115 1 = 51 V Answer: 51 V