A magnetic field of 0.5 T is induced across a blood vessel in the positive z direction (p = 0 in spherical coordinates). The blood vessel has a diameter of 2 mm and is oriented along direction = 30 and = 100 in spherical coordinates. Blood flows in the vessel along this direction. (a) In what direction does the induced electric field point? (b) If the voltage across the diameter of the vessel in this direction is measured as 0.9 mV, what is the volumetric flow rate of blood through the vessel?