# Is Emf induced in the coil when magnetic Flux passing through it is zero? If so then what is the explanation?

I thought Emf would not be induced if the coil doesn't cut the magnetic Flux . But since the graph in my paper shows Emf is induced when magnetic Flux is zero , I got confused. I thought since the relationship between Emf and magnetic Flux is directly proportional , one would be zero if the other is zero too.

Electromotive force (EMF), if generated, whenever the magnetic flux changes in time. In other words, it is proportional to its derivative viz. $$\mathscr E= -\frac{\mathrm d\Phi_\textrm{total}}{\mathrm dt}$$ where $\Phi_\textrm{total}= \textrm{total magnetic flux}= \Phi_\textrm{external} + \mathrm Li\;.$