Question

Show that the peak EMF induced in a coil rotating in a uniform magnetic field about an Axis which is perpendicular to the field direction is directly proportional to the angular speed of the coil.

Answer 1

Dear Student,


$$\begin{gathered} r=\frac{-d\varphi }{dt} \\ \varphi =NBA\sin \omega t \\ e=-NBA\omega \cos \omega t \\ peakvalueofEMFNBA\omega \\ hencethepeakEMFisdirectlyproportionaltoangularspeedthatis\omega . \\ thatstrue. \\ Regards \end{gathered}$$