Figure shows a conducting disc rotating about its axis in a perpendicular uniform magnetic field....

Figure shows a conducting disc rotating about its axis in a perpendicular uniform magnetic field \(B\). A resistor of resistance \(R\) is connected between the centre and the rim. The radius of the disc is \(5.0 cm\), angular speed \(\omega=40 rad / s , B=0.10 T\) and \(R=1 \Omega\). The current through the resistor is