Step 1: Understanding the formula.
The given formula \(\varepsilon = \frac{\Delta \Phi}{\Delta t}\) represents the relationship between the induced electromotive force (\(\varepsilon\)) and the rate of change of magnetic flux (\(\Phi\)) over time (\(\Delta t\)).
Step 2: Identifying the law.
This relation is a direct representation of Faraday's Law of Induction, which states that the induced electromotive force in a closed loop is proportional to the rate of change of magnetic flux through the loop.
Step 3: Conclusion.
Faraday’s Law is one of the fundamental laws of electromagnetism and is crucial for understanding how electric currents can be induced by changing magnetic fields.