The drawing shows a type of flow meter that can be used to measure the speed of
ID: 2120662 • Letter: T
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 0.31m/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
The magnetic force on a charge q will be:
F = qvB = q*0.31*0.5 = q*0.155,
so it corresponds to an electric field of 0.155
The corresponding voltage is thus:
0.155 * 5.6*10^-3 = 8.68 * 10^-4(V)
=0.868mv
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