College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Not sure if this is correct but its also asking to do percent error to find out how close your calculations resistivity values are to the accepted values
![# Understanding Electrical Resistivity
### Example Data Table
- **Wire Type**: Nichrome
- **Wire Radius, r**: \(6.6 \times 10^{-3}\) meters
- **Cross-sectional Area, A**: \(1.3 \times 10^{-6}\) square meters
The cross-sectional area, \( A \), is calculated using the formula:
\[ A = \pi r^2 \]
where \( \pi \approx 3.14159 \) and \( r \) is the radius. For this example:
\[ A = \pi (6.6 \times 10^{-3} m)^2 \approx 1.3 \times 10^{-5} m^2 \]
#### Data Table
| Run | Wire Length, \( L \) (m) | Wire Resistance, \( R \) (\( \Omega \)) |
|-----|---------------------------|----------------------------------------|
| 1 | 1.8 m | 1.65 \( \Omega \) |
| 2 | | |
| 3 | | |
| 4 | | |
| 5 | | |
| 6 | | |
### Calculations and Constants
- **Resistivity of Nichrome**: \( 105 \times 10^{-8} \) ohm-meters
Resistivity (\( \rho \)) is a property of the material and is used alongside the measured resistance and dimensions to understand how the material conducts electricity.
The formula for resistivity is:
\[ R = \rho \frac{L}{A} \]
For Run 1:
\[ R = 105 \times 10^{-8} \times \frac{1.8}{1.3 \times 10^{-6}} \approx 1.67 \, \Omega \]
*Note: The table provides an experimental value of 1.65 \( \Omega \), which is very close to the theoretical calculation.*](https://content.bartleby.com/qna-images/question/0f6e22df-4206-410a-ad9a-0d783181fc37/f9e4f912-f7f5-41e3-b4df-b025c90e4dc7/v4hrnn_processed.png)
Transcribed Image Text:# Understanding Electrical Resistivity
### Example Data Table
- **Wire Type**: Nichrome
- **Wire Radius, r**: \(6.6 \times 10^{-3}\) meters
- **Cross-sectional Area, A**: \(1.3 \times 10^{-6}\) square meters
The cross-sectional area, \( A \), is calculated using the formula:
\[ A = \pi r^2 \]
where \( \pi \approx 3.14159 \) and \( r \) is the radius. For this example:
\[ A = \pi (6.6 \times 10^{-3} m)^2 \approx 1.3 \times 10^{-5} m^2 \]
#### Data Table
| Run | Wire Length, \( L \) (m) | Wire Resistance, \( R \) (\( \Omega \)) |
|-----|---------------------------|----------------------------------------|
| 1 | 1.8 m | 1.65 \( \Omega \) |
| 2 | | |
| 3 | | |
| 4 | | |
| 5 | | |
| 6 | | |
### Calculations and Constants
- **Resistivity of Nichrome**: \( 105 \times 10^{-8} \) ohm-meters
Resistivity (\( \rho \)) is a property of the material and is used alongside the measured resistance and dimensions to understand how the material conducts electricity.
The formula for resistivity is:
\[ R = \rho \frac{L}{A} \]
For Run 1:
\[ R = 105 \times 10^{-8} \times \frac{1.8}{1.3 \times 10^{-6}} \approx 1.67 \, \Omega \]
*Note: The table provides an experimental value of 1.65 \( \Omega \), which is very close to the theoretical calculation.*
Transcribed Image Text:**Resistance of a Wire Lab**
---
**Overview:**
This visual presents data for a lab exploring the resistance of a wire. The information provided includes measurements of wire length, wire cross-section, resistance, and wire type.
---
**Wire Length:**
- The diagram includes a horizontal ruler with measurements from 0 to 8 meters.
- The wire is indicated to be between the 0 and 8-meter marks.
**Wire Cross Section:**
- The depiction shows a circular cross section of the wire superimposed on a grid.
- Each block of the grid represents 0.1 mm.
- The cross-section diagram helps in calculating the wire's diameter to determine its area, which is crucial for resistance calculations.
**Wire Resistance:**
- The resistance of the wire is specified as 1.65 Ω (Ohms).
**Wire Type:**
- The wire is identified as being made of Nichrome.
---
This lab setup can be used in educational contexts to teach students how to measure and calculate the resistance of a wire, and the importance of factors such as wire length, cross-sectional area, and material type in determining electrical resistance.
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