Typical blood velocities in the coronary arteries range from 10 to 30 cm/s. An e

Question

Typical blood velocities in the coronary arteries range from 10 to 30 cm/s. An electromagnetic flowmeter applies a magnetic field of 0.20 T to a coronary artery with a blood velocity of 15 cm/s. As we can see in the figure below, this field exerts 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.

a. What force is felt by a singly ionized (positive) sodium ion?
N

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?
N/C

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

Explanation / Answer

  a.

So

Force= IqI v B
q=1.6*10^-19 (this is the charge of proton
v is given
B is given
Therefore, |1.6*10^-19|*.15m/s*.20=
ANSWER4.8×1021 N

b.

F=qE

so,

E= F/q and E= 4.8×1021/ 1.6*10^-19

= 3×102 V/m

c.

3.0×102V/m *.003m =
ANSWER 9×105 v

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