Key Equations

Magnetic flux	$Φ_{m} = \int_{S} \vec{B} \cdot \hat{n} d A$
Faraday’s law	$ε = - N \frac{d Φ_{m}}{d t}$
Motionally induced emf	$ε = B l v$
Motional emf around a circuit	$ε = \oint \vec{E} \cdot d \vec{l} = - \frac{d Φ_{m}}{d t}$
Emf produced by an electric generator	$ε = N B A ω sin (ω t)$