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Chapter 22: Q23PE (page 812)

What Hall voltage is produced by a0.200鈥�Tfield applied across a role="math" localid="1654155783323" 2.60鈥�cmdiameter aorta when blood velocity is60.0cm/s?

Short Answer

Expert verified

The induced hall voltage is 3.12脳10鈥�3V

Step by step solution

01

Given information

The diameter of the aorta is L=2.60cm1m100cm=2.60脳10鈥�2m

The magnetic field strength of the earth is B=0.200T

The speed of the aluminum rod isv=60.00cm/s1m/s100cm/s=0.6m/s

02

Define the Hall effect

The principle of the Hall effect is used to generate an induced voltage when a charge carrier moves in an applied magnetic field perpendicular to the direction of motion and can be defined as,

E=BLv......................(1)

03

Evaluating the hall voltage

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

E=BLv=(0.200T)脳(2.60脳10鈥�2m)脳(0.6m/s)=3.12脳10鈥�3V

Therefore, the induced hall voltage is3.12脳10鈥�3V

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