The magnetic flux `(phi)` linked with the coil depends on time `t` as `phi=at^(n)`, where `a` and `n` are constants. The emf induced in the coil is `e`

Options

A. if `0lt n lt1,e=0`
B. If `0lt nlt1, e!=0` and `|e|` decreases with time
C. If `n=1,e` is constant
D. If `ngt1,|e|` increases with time

Explanation

To solve the problem, we need to analyze the given magnetic flux and its relationship with the induced electromotive force (emf) in the coil.

### Step-by-Step Solution:

1. **Given Information**:
The magnetic flux linked with the coil is given by:
\[
\phi = a t^n
...