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 0.40 m/s and the diameter of the vessel is 4.2 mm. In a 0.85-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

Explanation / Answer

Here length = diameter = 4.2 mm

Generated voltage = emf = Velocity x B-field x Length

so, here emf = 0.85*0.4*4.2*10^-3 = 0.001428 V

magnitude of the voltage that is measured with the electrodes in the drawing = 0.001428 V

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