JEE Main & Advanced Physics Electro Magnetic Induction Magnetic Flux

(1) The total number of magnetic lines of force passing normally through an area placed in a magnetic field is equal to the magnetic flux linked with that area.

(2) Net flux through the surface \[\phi =\oint{\vec{B}\cdot d\vec{A}}=BA\cos \theta \]

(\[\theta \] is the angle between area vector and magnetic field vector)

If \[\theta ={{0}^{o}}\] then \[\phi =BA,\] If \[\theta ={{90}^{o}}\] then \[\phi =0\]

(3) Unit and Dimension : Magnetic flux is a scalar quantity. It?s S.I. unit is weber (wb), CGS unit is Maxwell or Gauss \[\times \,\,c{{m}^{2}}\];         (\[1\,wb={{10}^{8}}\,Maxwell\]).

(4) Other units : Tesla \[\times \,\,{{m}^{2}}\]\[=\frac{N\times m}{Amp}=\frac{Joule}{Amp}\]\[=\frac{Volt\times \text{Coulomb}}{Amp}\]

\[=Volt\times sec\] = Ohm \[\times \] Coulomb = Henry \[\times \] Amp. It?s dimensional formula \[[\phi ]=[M{{L}^{2}}{{T}^{2}}{{A}^{-1}}]\]