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 $20 c m$ long column of blood in a 1.0-cm-diameter femoral artery? The conductivity of blood isrole="math" localid="1649056084708" $0.63 Ω^{- 1} m^{- 1} .$

Short Answer

Expert verified

The resistance of a $20 c m$ long column of blood in a $1.0 c m$ diameter femoral artery is $4.04 K Ω$ .

Step by step solution

Given Information

Column of blood length $= 20 c m$

Column of blood $= 1.0 c m$

The conductivity of blood is $= 0.63 Ω^{- 1} m^{- 1}$

Explanation

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

$R = ρ \frac{L}{A} = \frac{L}{σ A}$

The area is a circle, we can substitute $A = \frac{π D^{2}}{4}$ , thus finding

$R = \frac{4 L}{σ π D^{2}}$

Substitute the expression,

role="math" localid="1649056583426" $R = (\frac{4 \times 0.2 m}{0.63 Ω^{- 1} m^{- 1} \times π \times 0.01 m^{2}})$

role="math" localid="1649056713816" $= 4.04 k Ω$

Final Answer

Hence, the resistance of a $20 c m$ long column of blood in a $1.0 c m$ diameter femoral artery is $4.04 k Ω .$

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

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

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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" 0.63Ω-1m-1.

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Mechanics and Materials

Work Energy and Power

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Electrostatics

Study anywhere. Anytime. Across all devices.

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