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Chapter 22: Q30PE (page 812)

A patient with a pacemaker is mistakenly being scanned for an MRI image. A 10.0-cm-long section of pacemaker wire moves at a speed of 10.0 cm/s perpendicular to the MRI unit鈥檚 magnetic field and a 20.0-mV Hall voltage is induced What is the magnetic field strength?

Short Answer

Expert verified

The required magnetic field is2.00T

Step by step solution

01

Given information

The diameter of the pacemaker wire is L=10.0cm(1m100cm)=0.1m

The speed of the moving wire isv=10.00cm/s(1m100cm)=0.1m/s

Induced Hall voltage isE=20.0mV(103V1mV)=2.00脳10-2V

02

Define the Hall effect

The Hall effect defines the generation of induced voltage due to the motion of charge carriers in a perpendicular applied magnetic field and can be defined as,

E=BLv鈥︹赌︹赌︹赌︹赌︹赌︹赌�(1)

03

Evaluating the magnetic field

Substitute the given data in equation (1), which will result,

B=ELv=2.00脳10-2V(0.1m)脳(0.1m/s)=2.00T

Therefore, the required magnetic field is2.00T

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