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

ID: 1439166 • 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 0.29 m/s and the diameter of the vessel is 5.6 mm. In a 0.57-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

Blood Electrode Electrode

Explanation / Answer

Here

Speed of the blood = 0.29m/s

Diameter of the vessel = 5.6mm

Magnetic field = 0.57T

The magnetic force on the chare (q) is

F= qVB

But charge of the blood cell is not given

F= q x (0.29m/s) x (0.57T)

F= 0.1653 x q

So it corresponds to the electric field is 0.1653

Now corresponding voltage

V= 0.1653 x 0.0056

= 9.26x10-4volts

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