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Q. The magnetic flux through a surface varies with time as follows :
$\phi=12t^2+7t+3$
Here $\phi$ is in milliweber and t is in seconds. The induced emf at t = 5s ?

Electromagnetic Induction

Solution:

$E = - \frac{d \phi}{dt} = 24 t + 7$ At $t = 5s$ , $E = 24 \times 5 + 7 = 127 \, mV$