Part A When a current I travels along a conducting plate of width w, which lies perpendicular to a magnetic field B, a potential difference V develops across the plate as shown in the figure below. Show that, in equilibrium, the potential difference across the plate is given by V=vBw where v is the velocity of the charges moving in the conductor.

Part B Suppose we wish to use the Hall effect to measure the flow of blood in an artery. If we apply a magnetic field transverse to the direction of blood flow, it will cause the positively- and negatively-charged ions in the blood to separate and result in a voltage across the artery.

Assume that the artery has a square cross section of area a2 , where a =4.0 mm is the length of each side. Assume that the velocity is the same throughout the cross section and that the applied magnetic field has a magnitude 0.50 mT. If a voltage difference of 1.0 ? V is produced, what is the magnitude of the velocity of the blood in the artery?

Part C What is the volume flowrate of blood in the artery, expressed in units of mL/s?