The magnetic flux through each loop of a 75-loop coil is given by (8.8t-0.51t3) * 10-2t⋅m2, where the time t is in seconds.

To determine the emf as the function of time emf of the coil which is induced is

E = - NdФ/dt

= - (75) d/dt ((8.8-0.5Lt³) * 10⁻²)

= - (75) (8.8-0.51 (3+2)) ₓ 10⁻²

=-6.6 + 1.15t²) V

The value of t = 1.1s and t = 3.15

t = 1.1s, where induced emf is

E = (-6.6 + 1.15 (1.1) ²)

=-5.23V

At t = 3.1s, where induced emf is

E = (-6.6 + 1.15 (3.1) ²)

=4.45V