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Chapter 22: Q26PE (page 812)

Calculate the Hall voltage induced on a patient’s heart while being scanned by an MRI unit. Approximate the conducting path on the heart wall by a wire 7.50cm long that moves at 10.0 perpendicular to a 1.50‐Tmagnetic field.

Short Answer

Expert verified

The induced hall voltage is 1.13×10‐2V.

Step by step solution

01

Given information

The diameter of the aorta is L=7.50cm(1m100cm)=7.50×10‐2mThe magnetic field strength of the earth is B=1.50T

The speed of the aluminum rod is v=10.0cm/s1m/s100cm/s=0.10m/s

02

Concept Introduction

The Hall effect is defined as the generation of a voltage differential (the Hall voltage) across an electrical conductor that is transverse to the current and perpendicular to the applied magnetic field, and this voltage can be estimated using the equation,

E=BLv…………………(1)

03

Calculation of the Hall Voltage

Substitute the given data in equation (1) will give the value of induced hall voltage such that,

E=1.50T×7.50×10‐2m×0.10m\s=1.13×10‐2V

Therefore, the induced hall voltage is 1.13×10‐2V.

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Most popular questions from this chapter

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Consider a mass separator that applies a magnetic field perpendicular to the velocity of ions and separates the ions based on the radius of curvature of their paths in the field. Construct a problem in which you calculate the magnetic field strength needed to separate two ions that differ in mass, but not charge, and have the same initial velocity. Among the things to consider are the types of ions, the velocities they can be given before entering the magnetic field, and a reasonable value for the radius of curvature of the paths they follow. In addition, calculate the separation distance between the ions at the point where they are detected.

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