6.3 Magnetic Flux
A plane of surface area A placed in a uniform magnetic field B.
Faraday’s great insight lay in discovering a simple mathematical relation to explain the series of experiments he carried out on electromagnetic induction. However, before we state and appreciate his laws, we must get familiar with the notion of magnetic flux,
where
Magnetic field B i at the i th area element. dA i represents area vector of the i th area element.
If the magnetic field has different magnitudes and directions at various parts of a surface as shown in Fig. 6.5, then the magnetic flux through the surface is given by
where ‘all’ stands for summation over all the area elements