The magnetic flux through a coil perpendicular to its plane is varying according to the relation `phi_(B)= (5t^(3) +4t^(2) + 2t - 5)` weber. Calculate the induced current through the coil at t = 2 second. The resistance of the coil is 5 `Omega`.

Explanation

`phi=5t^(3)+4t^(2)+2t-5 implies |e| =(d phi)/(dt)=15t^(2)+8t+2` at t=2sec, e = -78V `implies e=iR=15t^(2)+8t+2`
`I xx 5=15 xx 4+8 xx 2 implies i=15.6A`