Key Equations

Magnetic flux	${\text{Φ}}_{\text{m}}={\displaystyle \underset{S}{\int }\overrightarrow{B}·\widehat{n}dA}$
Faraday’s law	$\epsilon =-N\frac{d{\text{Φ}}_{\text{m}}}{dt}$
Motionally induced emf	$\epsilon =Blv$
Motional emf around a circuit	$\epsilon ={\displaystyle \oint \overrightarrow{E}·d\overrightarrow{l}=-}\frac{d{\text{Φ}}_{\text{m}}}{dt}$
Emf produced by an electric generator	$\epsilon =NBA\omega \text{sin}(\omega t)$