Chapter 22: Q23PE (page 812)

What Hall voltage is produced by a $0.200 ‐ T$ field applied across a role="math" localid="1654155783323" $2.60 ‐ c m$ diameter aorta when blood velocity is $60.0 cm / s$ ?

Short Answer

Expert verified

The induced hall voltage is $3.12 \times 10^{‐ 3} V$

Step by step solution

Given information

The diameter of the aorta is $L = 2.60 cm (\frac{1 m}{100 cm}) = 2.60 \times 10^{‐ 2} m$

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

The speed of the aluminum rod is $v = 60.00 cm / s (\frac{1 m / s}{100 cm / s}) = 0.6 m / s$

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,

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

Evaluating the hall voltage

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

$E = BLv = (0.200 T) \times (2.60 \times 10^{‐ 2} m) \times (0.6 m / s) = 3.12 \times 10^{‐ 3} V$

Therefore, the induced hall voltage is $3.12 \times 10^{‐ 3} V$

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What Hall voltage is produced by a $0.200 ‐ T$ field applied across a role="math" localid="1654155783323" $2.60 ‐ c m$ diameter aorta when blood velocity is $60.0 cm / s$ ?

Short Answer

Step by step solution

Given information

Define the Hall effect

Evaluating the hall voltage

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

Short Answer

Step by step solution

Given information

Define the Hall effect

Evaluating the hall voltage

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Medical Physics

Quantum Physics

Solid State Physics

Magnetism and Electromagnetic Induction

Torque and Rotational Motion

Turning Points in Physics

Study anywhere. Anytime. Across all devices.

What Hall voltage is produced by a $0.200 ‐ T$ field applied across a role="math" localid="1654155783323" $2.60 ‐ c m$ diameter aorta when blood velocity is $60.0 cm / s$ ?