What is the speed of the blood?

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SUMMARY

The speed of blood in an artery with a diameter of 2.30 mm and a magnetic field of 0.065 T can be calculated using the voltage difference of 175 µV. The electric field (E) can be derived from the potential difference and the geometry of the blood vessel, allowing for the application of the formula v = E/B to determine the blood speed. This approach clarifies the relationship between electric field, magnetic field, and blood velocity, making the problem solvable.

PREREQUISITES
  • Understanding of electric fields and magnetic fields
  • Familiarity with the formula v = E/B
  • Knowledge of basic physics concepts related to voltage and potential difference
  • Geometry of blood vessels and their impact on electric fields
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  • Study the relationship between electric fields and potential difference in conductive fluids
  • Learn about the application of the Lorentz force in biological systems
  • Explore the effects of blood vessel geometry on fluid dynamics
  • Investigate the principles of magnetohydrodynamics in biological contexts
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Students and professionals in biomedical engineering, physics, and healthcare who are interested in understanding blood flow dynamics and the effects of electromagnetic fields on biological fluids.

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The artery in Figure 22-11 has an inside diameter of 2.30 mm and passes through a region where the magnetic field is 0.065 T.


(a) If the voltage difference between the electrodes is 175 µV, what is the speed of the blood?
m/s

quite honestly, i do not know how to go about this one maybe v= E/B BUT E is not given and i don,t know of an equation to acquire E from the above eaqn, since no charge is given. how should i go about. thks
 
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you can find E because you know the potential difference and the geometry of the blood vessel. The magnitude of the electric field depends on the distance a point is from a potential difference.
 
thank very solvable now :)
 

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