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The drawing shows a type of flow meter that can be used to measure the speed of

ID: 1393151 • 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 0.33 m/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?

please give answer in mV

Explanation / Answer

velocity,v=0.33m/s

Magnetic field,B=0.50T

The magnetic force on a charge q will be:
F = q*v*B = q*0.33*0.50 = q*0.165,

F=qEso it corresponds to an electric field of 0.165.

The corresponding voltage is thus:
v=0.165 * 5.6*10-3 = 9.2*10-4v

v=0.92mV

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