Magnetic flux `phi =(6t^(2) -5t +1)` Wb. Find an expression for instantaneous induced emf. What is the magnitude of the induced current at t = 0 .25s ?

Explanation

We know that,
Induced emf, `epsilon =-(dphi)/(dt)`
`implies |epsilon|= |d/(dt)(6t^(2) - 5t +1)|= 12 t -5`
At time , t = 0.25 s
`:. |epsilon|= |12 xx0.25 -5| =|3-5| = 2V`
`:.` Current `I = (|epsilon|)/R = 2/R A`