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Calculate the Hall voltage induced on a patient鈥檚 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 1.50Tmagnetic field.

Short Answer

Expert verified

The induced hall voltage is 1.13102V.

Step by step solution

01

Given information

The diameter of the aorta is L=7.50cm(1m100cm)=7.50102mThe 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鈥︹赌︹赌︹赌︹赌︹赌︹赌(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=1.50T7.50102m0.10m\s=1.13102V

Therefore, the induced hall voltage is 1.13102V.

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