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Chapter 27: Q. 32 (page 763)

The femoral artery is the large artery that carries blood to the leg. What is the resistance of a 20cm long column of blood in a 1.0-cm-diameter femoral artery? The conductivity of blood isrole="math" localid="1649056084708" 0.63惟-1m-1.

Short Answer

Expert verified

The resistance of a 20cmlong column of blood in a1.0cm diameter femoral artery is4.04K惟.

Step by step solution

01

Given Information 

Column of blood length=20cm

Column of blood =1.0cm

The conductivity of blood is=0.63惟-1m-1

02

Explanation 

If the area and length of the cross-section are given, and a constant is chosen, such as resistivity, 蚁, or conductivity, 蟽, the resistance will be:

R=蚁LA=L蟽A

The area is a circle, we can substitute A=蟺D24, thus finding

R=4L蟽蟺D2

Substitute the expression,

role="math" localid="1649056583426" R=4脳0.2m0.63惟-1m-1脳蟺脳0.01m2

role="math" localid="1649056713816" =4.04k惟

03

Final Answer

Hence, the resistance of a20cmlong column of blood in a1.0cm diameter femoral artery is4.04k惟.

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