Question

The magnetic flux `phi` linked with a conducting coil depends on time as `phi = 4t^(n) + 6`, where `n` is positive constant. The induced emf in the coil is `e`
A. If `0 lt n lt 1, e != 0` and `|e|` decreases with time.
B. If `n=1`, `e` is constant
C. If `n gt 1, |e|` increases with time.
D. If `n gt 1, |e|` decreases with time.

Answer 1

Correct Answer - A::B::C
`phi = 4t^(n) + 6`
`(d phi)/(dt) = 4n.t^(n-1)`
`|e| = 4n t^(n-1)`
`|e| = (4n)/(t^(1-n))`