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

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Typical blood velocities in the coronary arteries range from 10to 30 cm/s. An electromagnetic flowmeter applies a magnetic fieldof 0.27 T to a coronary artery with a blood velocity of 12 cm/s. Aswe can see in the figure below, this field exerts a force on ionsin the blood, which will separate. The ions will separate untilthey make an electric field that exactly balances the magneticforce. This electric field produces a voltage that can be measured.https://imgur.com/a/9cgT4

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The magnetic field B = 0.27 T

the velocity of the blood v = 12 cm/s

(a) The force is felt by singly ionized ion

Â Â Â Â Â Â Â Â Â Â Â Â Â F = qvB sin?

here the velocity and magnetic field are perpendicular to each other

soÂ Â Â Â Â F = qvB

Â Â Â Â Â Â Â Â Â Â Â = (1.6*10^-19C) ( 0.12 m/s) (0.27T)

Â Â Â Â Â Â Â Â Â Â Â = 5.184*10^-21 N

(b) When the electric force due to electric field and magnetic force due to magnetic field are equal

Â Â Â Â Â Â Â Â Â Â Â Â Â Â thenÂ Â qE = qv B

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â E = vB = (0.12m/s) (0.27T)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 3.24*10^-2 V/m

Â Â Â Â Â Â then the voltageÂ Â V = Ed

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = (3.24*10^-2) (2.6*10^-3m)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 8.424*10^-5 V

Â Â

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

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