1) A uniform magnetic field B points in the direction. A circular loop of wire has radius a and resistance R. At t = 0, the loop lies in the z-y plane, with the center of the loop at the origin of coordinates. The loop rotates about the y-axis with angular velocity w. Find the current, I(t), flowing through the loop at an arbitrary time t. (Ignore/neglect any "self-induction" effects, i.e., neglect any effects of the magnetic field produced by the current in the loop.)

1) A uniform magnetic field B points in the direction. A circular loop of wire has radius a and resistance R. At t = 0, the loop lies in the z-y plane, with the center of the loop at the origin of coordinates. The loop rotates about the y-axis with angular velocity w. Find the current, I(t), flowing through the loop at an arbitrary time t. (Ignore/neglect any "self-induction" effects, i.e., neglect any effects of the magnetic field produced by the current in the loop.)