S1: Faraday’s Law of electromagnetic induction is induced emf, $e = \large\frac{-d \phi }{dt}$ \[\] S2: Due to changing magnetic field, if $E$ is induced electric field, then $e = \int E \: dl$ \[\] S3: From above two statements, $ \int E\: dl =\large\frac{-d \phi }{dt}$