25. II BIO Measuring blood flow. Blood contains positive and negative ions and so is a conductor. A blood vessel, therefore, can be viewed as an electrical wire. We can even picture the flowing blood as a series of parallel conducting slabs whose thickness is the diameter d of the vessel moving with speed v. (See Figure 21.590.) (a) If the blood vessel is placed in a magnetic field B perpendicular to the vessel, as in the figure, show that the motional potential difference induced across it is ε = vBd. (b) If you expect that the blood will be flowing at 15 cm/s for a vessel 5.0 mm in diameter, what strength of magnetic field will you need to produce a potential difference of 1.0 mV? (c) Show that the volume rate of flow (R) of the blood is equal to R = лɛd/4B. (Note: Although the method developed here is useful in measuring the rate of blood flow in a vessel, it is of limited use in surgery because measurement of the potential & must be made directly across the vessel.) Figure 21.59 X X X X XX X X B
25. II BIO Measuring blood flow. Blood contains positive and negative ions and so is a conductor. A blood vessel, therefore, can be viewed as an electrical wire. We can even picture the flowing blood as a series of parallel conducting slabs whose thickness is the diameter d of the vessel moving with speed v. (See Figure 21.590.) (a) If the blood vessel is placed in a magnetic field B perpendicular to the vessel, as in the figure, show that the motional potential difference induced across it is ε = vBd. (b) If you expect that the blood will be flowing at 15 cm/s for a vessel 5.0 mm in diameter, what strength of magnetic field will you need to produce a potential difference of 1.0 mV? (c) Show that the volume rate of flow (R) of the blood is equal to R = лɛd/4B. (Note: Although the method developed here is useful in measuring the rate of blood flow in a vessel, it is of limited use in surgery because measurement of the potential & must be made directly across the vessel.) Figure 21.59 X X X X XX X X B
Related questions
Question
Transcribed Image Text:25. II BIO Measuring blood flow. Blood contains positive and negative ions and so is a
conductor. A blood vessel, therefore, can be viewed as an electrical wire. We can even
picture the flowing blood as a series of parallel conducting slabs whose thickness is the
diameter d of the vessel moving with speed v. (See Figure 21.59.) (a) If the blood vessel
is placed in a magnetic field B perpendicular to the vessel, as in the figure, show that the
motional potential difference induced across it is ε = vBd. (b) If you expect that the blood
will be flowing at 15 cm/s for a vessel 5.0 mm in diameter, what strength of magnetic field
will you need to produce a potential difference of 1.0 mV? (c) Show that the volume rate of
flow (R) of the blood is equal to R лɛd/4B. (Note: Although the method developed here
is useful in measuring the rate of blood flow in a vessel, it is of limited use in surgery
because measurement of the potential & must be made directly across the vessel.)
=
Figure 21.59
X
X X
X
X
X
X
180
B
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
