What rule determines the direction of the induction current?

The direction of the induction current in the circuit is determined by the Lenz rule:

The induction current is directed so as to counteract the change in the magnetic flux by which it is caused by its magnetic field.

ε = – ΔФ / Δt
Where
ε_i – current induction EMF
Ф – magnetic flux
t – time

Also the formula through the derivative:
ε = – Ф ‘



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