Variations in the resistivity of blood can give valuable clues about changes in various properties of the blood. Suppose a medical device attaches two electrodes into a 1.0-mm-diameter vein at positions 5.1 cm apart. ▼ Part A What is the blood resistivity if a 9.0 V potential difference causes a 280 μA current through the blood in the vein? Express your answer in ohm-meters. [5] ΑΣΦ p= ? Ω · m

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Title: Understanding Blood Resistivity**

**Introduction:**
Variations in the resistivity of blood can give valuable clues about changes in various properties of the blood. In this example, we will explore how a medical device can measure blood resistivity.

**Scenario:**
Suppose a medical device attaches two electrodes into a 1.0-mm-diameter vein at positions 5.1 cm apart.

**Question:**
Part A: What is the blood resistivity if a 9.0 V potential difference causes a 280 μA current through the blood in the vein? 

**Instruction:**
Express your answer in ohm-meters (Ω·m).

**Input Box:**
- Symbol: ρ (ohm-meters)

**Action Buttons:**
- Submit
- Request Answer

This exercise demonstrates the relationship between voltage, current, and resistivity in a biological context. Understanding these concepts is essential for medical physics and biomedical engineering.
Transcribed Image Text:**Title: Understanding Blood Resistivity** **Introduction:** Variations in the resistivity of blood can give valuable clues about changes in various properties of the blood. In this example, we will explore how a medical device can measure blood resistivity. **Scenario:** Suppose a medical device attaches two electrodes into a 1.0-mm-diameter vein at positions 5.1 cm apart. **Question:** Part A: What is the blood resistivity if a 9.0 V potential difference causes a 280 μA current through the blood in the vein? **Instruction:** Express your answer in ohm-meters (Ω·m). **Input Box:** - Symbol: ρ (ohm-meters) **Action Buttons:** - Submit - Request Answer This exercise demonstrates the relationship between voltage, current, and resistivity in a biological context. Understanding these concepts is essential for medical physics and biomedical engineering.
Expert Solution
Step 1

Given:- 

The diameter of the vein is d = 1.0 mm = 1.0 x 10-3 m

The distance between the two electrons is L = 5.1 cm  = 5.1 x 10-2 m

The potential difference is V = 9.0 V 

The current through the blood in the vein is  I = 280 μA

Find:-

The blood resistivity? 

 

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