The drawing shows a type of flow meter that can be used to measure the speed of

Question

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 develops across the vessel. Suppose the speed of the blood is 0.46 m/s and the diameter of the vessel is 8.4 mm. In a 0.54-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

Explanation / Answer

Note that

V = d v B

where

V = voltage
d = diameter of vessel = 0.0056 m
v = 0.36 m/s
B = 0.67 T

Thus,

V = 1.35*10^-3 V or 1.35 mV [ANSWER]

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