Question

The magnetic flux linked with a coil in Wb is given by the equation Φ = 3t² + 4t + 9. Then the magnitude of induced emf at t = 2 sec will be ______.

Options

• 2 V

• 4 V

• 8 V

• 16 V

Answer 1

The magnetic flux linked with a coil in Wb is given by the equation Φ = 3t² + 4t + 9. Then the magnitude of induced emf at t = 2 sec will be 16 V.

Explanation:

`|"e"| = ("d"phi)/"dt" = ("d"(3"t"^2 + 4"t" + 9))/"dt" => 6"t" + 4`

= (6 × 2) + 4  (t = 2s, given)

e = 16 volt