Given:
Radius of disc, r=0.05 m
Angular speed, ω=10 rad/s
Magnetic field, B=2 T
Resistance, R=1 Ω
Emf induced between the midpoint of a radius and the center of the disc is,
E=Bωl22=Bωr28 (∵l=r/2)
=2×10×0.0528=6.25×10−3 V
Now, the current flowing through the resistor is,
i=ER=6.25×10−31=6.25×10−3 A