The magnetic flux linked with a coil varies as `phi=3t^(2)+4t+9.` Find the magnitude of the emf induced at t = 2S.

Options

A. 8 V
B. 16 V
C. 32 V
D. 64 V

Answer

B

Explanation

The magnitude of induced emf is
`|epsilon|=(dphi)/(dt)=(d)/(dt)(3t^2+4t+9)=6t+4`
At t = 2 s,
`|epsilon| = 6(2) + 4 = 16 V`