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 0.60 m/s and the diameter of the vessel is 5.4 mm. In a 0.26-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

Explanation / Answer

E = B v L

= 0.26 T * 0.60 m/s * 5.4 * 10-3 m

= 0.842 * 10-3 V

= 0.842 mV

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