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please help The drawing shows a type of flow meter that can be used to measure t

ID: 2281172 • Letter: P

Question

please help

The drawing shows a type of flow meter that can be used to measure the speed of blood in situations when a blood vessel is sufficiently exposed (e.g., during surgery). Blood is conductive enough that it can be treated as a moving conductor. When it flows perpendicularly with respect to a magnetic field, as in the drawing, electrodes can be used to measure the small voltage that develop across the vessel. Suppose the speed of the blood is 0.23 m/s and the diameter of the vessel is 6.1 mm. In a 0.29-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

Explanation / Answer

The magnetic force on a charge q will be:
F = qvB = q*0.15*0.94 = q*0.141, so it corresponds to an electric field of 0.141.

The corresponding voltage is thus:
0.141 * 6e-3 = 8.46e-4 (V)