N0SX108 your units are in meters squared (m²) and not mm’! Record the value in a 2 A-TY data table like this one below. Example Data Table. Nichrome -3 • Wire Type %3D • Wire radius, r = OexIQ 3rió 1-(3X10 Don't forget the units! • Cross-sectional area, A =. Wire length, L Wire Resistance, R Run Ialse Resitivityof Nichnome is (m) (오) 1.8m 1 2 3 4 6 D=(105Y10X X

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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.*
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.*
**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.
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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