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 0.26 m/s and the diameter of the vessel is 5.6 mm. In a 0.50-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing? ___________ mV

Explanation / Answer

Given:

Speed of blood V = 0.26 m/s

Magnetic field B = 0.50 T

Diameter of vessel, L = 5.6 mm = 0.0056 m

Emf can be given as:

E = B×v×L

= 0.50T×0.26 m/s×0.0056 m = 7.28×10-4

= 0.000728 V = 0.728 mV

This is the measured voltage with electrodes

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