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The drawing shows a type of flow meter that can be used to measure the speed of

ID: 1568878 • Letter: T

Question

The drawing shows a type of flow meter that can be used to measure the speed of blood in situations when a blood vessel is sufficiently exposed (e.g., during surgery). Blood is conductive enough that it can be treated as a moving conductor. When it flows perpendicularly with respect to a magnetic field, as in the drawing, electrodes can be used to measure the small voltage that develops across the vessel. Suppose the speed of the blood is 0.30 m/s and the diameter of the vessel is 5.6 mm. In a 0.50-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing? .84e-3 mV Suppose that the light bulb in the figure is a 58.8-W bulb with a resistance of 222 omega. The magnetic field has a magnitude of 0.43 T, and the length of the rod is 0.63 m. The only resistance in the circuit is that due to the bulb. What is the shortest distance along the rails that the rod would have to slide for the bulb to remain lit for one-half second? 389.9 m

Explanation / Answer

STEP 1) diameter of blood vessel will act as length of conductor

d = l = 5.6 mm = 0.0056 m

velocity of blood will be velocity of conductor

v=0.30 m/s

magnetic field into page is

B= 0.5 T

STEP 2)

emf induced is given by the formula

e =BlV

= 0.50 T x 0.0056 m x 0.30 m/s

=8.4 x 10^-4 v ans

please post one question at a time. thanks

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