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29 March, 13:20

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 0.19 m/s and the diameter of the vessel is 4.7 mm. In a 0.52-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

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  1. 29 March, 14:19
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    4.64 * 10^-3V

    Explanation:

    4. The blood flowing at a speed v = speed of the moving rod

    While the diameter of the blood vessel = length of the rod.

    Let:

    The magnitude of the magnetic field = B = 0.52-T

    emf = the measured voltage = ?

    Length, L = 4.7mm = 4.7 * 10^-3m

    Speed of the blood, V = 0.19m/s

    Recall:

    emf = B V L

    = (0.52) (0.19) (4.7 * 10^-3)

    =0.000464

    = 4.64 * 10^-3V
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