First slide
Magnetic flux and induced emf
Question

The magnetic flux linked with coil, in weber is given by the equation,  ϕ=5t2+3t+16. The induced emf in the coil in the fourth second is

Moderate
Solution

|e|=dt=ddt5t2+3t+16=(10t+3)

when  t=3sec,e3=(10×3+3)=33V
when  t=4sec,e4=(10×4+3)=43V
Hence emf induced in fourth second 
=e4e3=4333=10V

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