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IP BIO The artery in Figure 22–11 has an inside diameter

Chapter 22, Problem 23P

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QUESTION:

The artery in Figure 22–11 has an inside diameter of \(2.75 \mathrm{~mm}\) and passes through a region where the magnetic field is 0.065 T.

(a) If the voltage difference between the electrodes is

\(195 \mu \mathrm{V}\), what is the speed of the blood?

(b) Which electrode is at the higher potential? Does your answer depend on the sign of the ions in the blood? Explain.

Equation Transcription:

Text Transcription:

2.75 mm

195 \mu V

Questions & Answers

QUESTION:

The artery in Figure 22–11 has an inside diameter of \(2.75 \mathrm{~mm}\) and passes through a region where the magnetic field is 0.065 T.

(a) If the voltage difference between the electrodes is

\(195 \mu \mathrm{V}\), what is the speed of the blood?

(b) Which electrode is at the higher potential? Does your answer depend on the sign of the ions in the blood? Explain.

Equation Transcription:

Text Transcription:

2.75 mm

195 \mu V

ANSWER:

Step 1 of 2:-

a)

Here, we have to calculate the speed of electrons.

The magnetic field is perpendicular to the direction of motion of electrons.

The magnetic field strength is,

.

The voltage difference between the electrodes is,

.

We know that,

Because, the net force has to be zero for the electrons to continue in the straight path.

         

         

So, the speed of the electrons will be 1.09 m/s.

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