The artery in the figure has an inside diameter of 2.75 mm and passes through a region where the magnetic field is 0.067 T. If the voltage difference between the electrodes is 186 μV , what is the speed of the blood? Express your answer using two significant figures

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The artery in the figure has an inside diameter of 2.75 mm and passes through a region where the magnetic field is 0.067 T.

If the voltage difference between the electrodes is 186 μV , what is the speed of the blood?
Express your answer using two significant figures.
**Transcription and Explanation for Educational Website**

The image depicts a cross-sectional view of an artery where blood flow is being measured using a magnetic field, known as the electromagnetic flowmeter principle. Here's a detailed breakdown of the diagram:

1. **Artery**: The cylindrical structure represents an artery through which blood flows. Visible inside the artery are ions, identified as positive and negative ions. Positive ions are denoted by red dots and negative ions by green dots.

2. **Direction of Blood Flow**: An arrow marked along the artery indicates the direction in which blood is flowing.

3. **Magnetic Field**: Two large rectangular blocks labeled "N" and "S" represent the north and south poles of a magnet. Lines with arrows point from the north pole to the south pole, indicating that a magnetic field (\(B\)) is applied perpendicularly to the direction of the blood flow.

4. **Electrodes**: On either side of the artery, electrodes are placed to detect the voltage generated as ions in the blood move through the magnetic field.

5. **Voltmeter**: An electrical device connected to the electrodes. It measures the potential difference (voltage) generated between the electrodes due to the movement of blood, akin to Faraday's law of electromagnetic induction.

This schematic demonstrates how electromagnetic flowmeters work, where blood behaves as a conductor in a magnetic field, generating a measurable voltage proportional to the rate of blood flow.
Transcribed Image Text:**Transcription and Explanation for Educational Website** The image depicts a cross-sectional view of an artery where blood flow is being measured using a magnetic field, known as the electromagnetic flowmeter principle. Here's a detailed breakdown of the diagram: 1. **Artery**: The cylindrical structure represents an artery through which blood flows. Visible inside the artery are ions, identified as positive and negative ions. Positive ions are denoted by red dots and negative ions by green dots. 2. **Direction of Blood Flow**: An arrow marked along the artery indicates the direction in which blood is flowing. 3. **Magnetic Field**: Two large rectangular blocks labeled "N" and "S" represent the north and south poles of a magnet. Lines with arrows point from the north pole to the south pole, indicating that a magnetic field (\(B\)) is applied perpendicularly to the direction of the blood flow. 4. **Electrodes**: On either side of the artery, electrodes are placed to detect the voltage generated as ions in the blood move through the magnetic field. 5. **Voltmeter**: An electrical device connected to the electrodes. It measures the potential difference (voltage) generated between the electrodes due to the movement of blood, akin to Faraday's law of electromagnetic induction. This schematic demonstrates how electromagnetic flowmeters work, where blood behaves as a conductor in a magnetic field, generating a measurable voltage proportional to the rate of blood flow.
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