Calculating Blood Velocity from Voltage Difference

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Homework Help Overview

The discussion revolves around calculating the speed of blood flow in an artery based on a given voltage difference and magnetic field strength. The problem involves concepts from electromagnetism and fluid dynamics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use the equation v=E/B to find blood velocity but expresses uncertainty about calculating the electric field E and the appropriate values for charge and radius. Some participants question the relationship between voltage and electric field, while others suggest considering the induced emf.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. There is a recognition of the need to clarify the relationship between voltage and electric field, and some guidance has been offered regarding the use of induced emf.

Contextual Notes

The original poster mentions uncertainty about the concepts of electric field and induced emf, indicating a potential gap in their understanding of the relevant physics principles.

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Homework Statement



An artery has an inside diameter of 3.20 mm and passes through a region where the magnetic field is 0.065 T.
If the voltage difference between the electrodes is 155 µV, what is the speed of the blood?

Homework Equations



V=kq/r E=kq/r^2 v=E/B

The Attempt at a Solution



I know that I have to ultimately use the last equation to find out velocity, but I need to first find out E. I tried using the second equation, but I am not quite sure as to what I'm doing wrong. First of all, is that right equation? For q, am I supposed to use the charge of an electron/proton? is r supposed to be entire diameter or should I divide it half?
 
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Remember that V is a scalar and E is a vector. They are related somehow or another...
 
There is a simple equation for induced emf that applies here
 
In my calculations I wasn't able to include V, but I know that I should. However, I don't know how the two relate to each other in an equation...Also, I don't think that I've learned about emf...
 

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