D

Lenz's law describes the direction of induced electromotive force (e.m.f.) and can be expressed using the formulae shown. The correct representation among the options corresponds to the expression derived from Faraday's law of electromagnetic induction, which relates e.m.f. to the rate of change of magnetic flux linked with the coil.
Step 1: According to Lenz's law, the induced e.m.f. (e) is given by the negative rate of change of magnetic flux (Φ) multiplied by the number of turns (N):
$$ e = -N \frac{dΦ}{dt} $$
Step 2: This means that the correct equation that retains the concept of Lenz’s law and accounts for the number of turns (N) of coil in respect to the change of magnetic flux (Φ) is represented in Option D. Thus, the correct answer is D.