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 0.24 m/s and the diameter of the vessel is 5.6 mm. In a 0.67-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?
mV

Explanation / Answer

In this situation magnetic force on the blood equal to the electric force on the blood.

so

qvB=qE

where q is charge on blood,

B is strength of magnetic field,

v is velocity of blood,

and E is elecric field.

so E=vB=(0.24)(0.67)=0.1608 N/C

Thus Voltage,V=Ed=(0.1608)(5.6)(10)-3

V=0.90048 mV

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.