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 0.25 m/s and the diameter of the vessel is 5.6 mm. In a 0.55-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?
mV

Please provide explanation and answer.

Explanation / Answer

Speed of the blood is v = 0.25 m/s diameter of the vessel is  L = 5.6 mm magnetic field is B = 0.55 T magnitude of the voltage is e = B L v                                                = 0.55 T * 5.6*10^-3 m * 0.25 m/s                                               = 0.77 *10^-3 V

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