You are helping to design a new device to measure the blood flow through arteries as a diagnostic device for heart surgery. The idea is to use microsurgery to attach small wires to opposite sides of an artery. The wires are brought outside of the body and attached to a voltmeter. Helmholtz coils outside the body are then used to create a uniform magnetic field at the artery that is perpendicular to the blood flow and to the direction between the wire attachment points. After the magnetic field is turned on, the ions in the blood come to equilibrium such that there is a constant electric field in the artery. You decide to calculate the smallest velocity of blood flow that this device can measure for an artery of diameter 3 mm in a magnetic field of 0.5 T if the voltmeter is accurate to 1 microvolt. [Hint: This is a Hall effect problem.]

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You are helping to design a new device to measure the blood flow through arteries as a diagnostic device for heart surgery. The idea is to use microsurgery to attach small wires to opposite sides of an artery. The wires are brought outside of the body and attached to a voltmeter. Helmholtz coils outside the body are then used to create a uniform magnetic field at the artery that is perpendicular to the blood flow and to the direction between the wire attachment points. After the magnetic field is turned on, the ions in the blood come to equilibrium such that there is a constant electric field in the artery. You decide to calculate the smallest velocity of blood flow that this device can measure for an artery of diameter 3 mm in a magnetic field of 0.5 T if the voltmeter is accurate to 1 microvolt. [Hint: This is a Hall effect problem.]
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