The drawing shows a type of flow meter that can be used to measure the speed of
ID: 1531914 • 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 0.28 m/s and the diameter of the vessel is 5.6 mm. In a 0.51-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?
Explanation / Answer
let q is the charge of Ions that exist in blood.
In the equilibrium,
magnetic force = electric force
q*v*B = q*E
==> E = v*B
= 0.28*0.51
= 0.1428 N/c
the voltage that is measured between the electrodes, delta_V = E*d
= 0.1428*5.6*10^-3
= 8.0*10^-4 volts or 0.8 mV
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