A conducting wire of parabolic shape, initially $$y = x^2$$, is moving with velocity $$\overrightarrow{V} = V_0 \widehat{l}$$ in a non-uniform magnetic field $$\overrightarrow{B} = B_0 \left( 1 + \left(\frac {y}{L}\right)^\beta \right) \widehat{k}$$ as shown in figure. If $$V_0, B_0, L$$ and $$\beta$$ are positive constants and $$\triangle\phi$$ is the potential difference developed between the ends of the wire, then the correct statement(s) is/are: