Question

The magnetic flux linked with the coil (in Weber) is given by the equation- Փ = 5t² + 3t + 16. The induced EMF in the coil at time, t = 4 will be ______.

Options

• - 27 V

• - 43 V

• - 108 V

• 210 V

Answer 1

The magnetic flux linked with the coil (in Weber) is given by the equation- Փ = 5t² + 3t + 16. The induced EMF in the coil at time, t = 4 will be - 43 V.

Explanation:

Փ = 5t² + 3t + 16

|e| = `("d"phi)/"dt"`

`= "d"/"dt" [5"t"^2 + 3"t" + 16]`

= 10t + 3

|e|_t=4 = 10(4) + 3 = 43 V

e = - 42 Volts