Identify given parameters

Identify the induced electromotive force (e) and the inductance (L) of the coil.

$e = 16 \text{ V}, L = 4 \text{ H}$

Apply the Faraday-Lenz Law for inductance

The induced emf in an inductor is proportional to the rate of change of current, given by the formula $e = L \frac{di}{dt}$, where $\frac{di}{dt}$ is the rate of change of current.

$e = L \frac{di}{dt}$

Rearrange for the rate of change of current

Isolate the term $\frac{di}{dt}$ by dividing the induced emf by the inductance.

$\frac{di}{dt} = \frac{e}{L}$

Perform the calculation

Substitute the given values into the equation to find the rate of change of current.

$\frac{di}{dt} = \frac{16}{4} = 4 \text{ A/s}$