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

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 0.27 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?
mV

Explanation / Answer

According to the question we need to find the magnitude of the voltage that is measured with the electrodes in the drawing.

We need to find magnetic force first using the formula

F = qvB = ( Plug in the values we get )

F =q * 0.27 m/s * 0.57-T = q * ( 0.1539 )

Now we can solve for the corresponding voltage

= 0.1539 * 5.6 * 10 ^ -3 = 8.6184 * 10 ^ -4 V ============================ANSWER)

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