Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed ' v ' in a uniform magnetic field B going into the plane of…

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed ' $\displaystyle v$ ' in a uniform magnetic field $\displaystyle B$ going into the plane of the paper (See figure). If charge densities $\displaystyle \sigma_1$ and $\displaystyle \sigma_2$ are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects) :