Typical blood velocities in the coronary arteries range from 10.0 to 30.0 cm/s .

Question

Typical blood velocities in the coronary arteries range from 10.0 to 30.0 cm/s . An electromagnetic flowmeter applies a magnetic field of 0.201T to a coronary artery with a blood velocity of 26.4cm/s . As we see in the figure, this field will exert a force on ions in the blood, which will separate. The ions will separate until they make an electric field that exactly balances the magnetic force. This electric field produces a voltage that can be measured.(Figure 1)

Part A

What for

Part B

Charges in the blood will separate until they produce an electric field that cancels this magnetic force. What will be the resulting electric field?

Part C

What voltage will this electric field produce across an artery with a diameter of 3.3mm ?

ce is felt by a singly ionized (positive) sodium ion?

Explanation / Answer

a ) The magnetic force felt by ions is         F = q v B and the electrostatic force is F=qE .Thus at equilibrium,

qE=qvB

E=vB= 0.264*0.201=0.0531 N/C

(b) The voltage is

V=Ed=(0.0531)(3.3*10-3)=1.75*10-4V

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