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 0.57 m/s and the diameter of the vessel is 5.4 mm. In a 0.73-T magnetic field what is the magnitude of the voltage that is measured with the electrodes in the drawing?

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Magnitude of Voltage = 2.21 x 10^(-3) V

Explanation:

From the question, The blood flowing at a speed v corresponds to the moving rod, and the diameter of the blood vessel corresponds to the length L of the rod in the figure. The magnitude of the magnetic

field is B, and the measured voltage is the emf (ξ) induced by the motion. Thus, we can apply;

ξ = BvL

Diameter L =5.4mm = 5.4 x 10^(-3)m

Thus;

ξ = 0.73 x 0.56 x 5.4 x 10^(-3) = 2.21 x 10^(-3) V

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day