Faradays Laws of Electro-Magnetic Induction

Faradays Laws of Electro-Magnetic Induction Points : Faradays Laws of Electro-Magnetic Induction First Law When the magnetic flux linking with an electric circuit is altered an e.m.f. is induced in the circuit. Second Law Magnitude of this induced e.m.f. is directly proportional to the rate of flux linkages. Mathematical Explanation Allow us have a coil of N-turns. Let us suppose that it is linked with an initial flux ?1 webers and then in time t second it is linked with a final flux ?2 webers. Thus the flux changes in the coil from ?1 to ?2 in time r seconds.
Change of flux/conductor = (?2 - ?1 ) W
rate of change of flux per conductor
= d ? / dt = ?2 – ?1/t Wb/sec
Induced e.m.f. per conductor
= —d ?/dt Volts
Hence the induced e.m.f. in N conductors,
e = - N . d ?/ dt Volts
=—N ?2 – ?1 / t Volts
E = - N ?/t Volts