Variations in the resistivity of blood can give valuable clues to changes in the

Question

Variations in the resistivity of blood can give valuable clues to changes in the blood's viscosity and other properties. The resistivity is measured by applying a small potential difference and measuring the current. Suppose a medical device attaches electrodes into a 1.5-mm-diameter vein at two points 5.0 cm apart.

Part A

What is the blood resistivity if a 8.5 V potential difference causes a 230 A current through the blood in the vein?

Variations in the resistivity of blood can give valuable clues to changes in the blood's viscosity and other properties. The resistivity is measured by applying a small potential difference and measuring the current. Suppose a medical device attaches electrodes into a 1.5-mm-diameter vein at two points 5.0 cm apart.

Part A

What is the blood resistivity if a 8.5 V potential difference causes a 230 A current through the blood in the vein?

Explanation / Answer

Here given data

D =1.5 mm

v =8.5 v

I =230 a

L =5 cm

we know that

A = pi*D^2 / 4

= (3.14)*(0.0015 m)^2 / 4

= 0.00000176625 m^2

V = I*R --> R = V/I = 8.5 V / 0.00023 A = 36956.52 ohms

Therefore:

rho = R*A/L = (36956.52 ohms)*(0.00000176625 m^2) / (0.05 m) = 1.30 ohm*m

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