Chapter 22, Problem 04 The drawing shows a type of flow meter that can be used t

Question

Chapter 22, Problem 04 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 0.50 m/s and the diameter of the vessel is 5.9 mm. In a 0.69-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing? Electrode Blood Electrode Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Qpen Show Work

Explanation / Answer

Given:

Magnetic field, B = 0.69 T

Length, l = 5.9 mm = 5.9 * 10-3 m

Velocity, v = 0.50 m/s

   As we know that

     ? = B i l = (0.69 T ) * ( 5.9 * 10-3 m ) ( 0.50 m/s ) = 2.04 * 10-3 V

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