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Evaluate your results and discuss the physical meaning of slope in procedure 1 and procedure 2. Discuss how well your data on resistivity agrees with the given theoretical values. Discuss the sources of experimental error.

Evaluate your results and discuss the physical meaning of slope in procedure 1 and procedure 2. Discuss how well your data on resistivity agrees with the given theoretical values. Discuss the sources of experimental error.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Evaluate your results and discuss the physical meaning of slope in procedure 1 and procedure 2. Discuss how well your data on resistivity agrees with the given theoretical values. Discuss the sources of experimental error.

**Table 2: R vs. 1/A** | Wire Radius (mm) | Wire Radius (m) | Cross-sectional Area, πr² (m²) | 1/A (m⁻²) | Resistance (Ohms) | |------------------|-----------------|-------------------------------|-----------|-------------------| | 0.9 | 9.0 x 10⁻⁴ | 2.54 x 10⁻⁶ | 3.9 x 10⁵ | 36.5 | | 1.5 | 1.5 x 10⁻³ | 7.07 x 10⁻⁶ | 1.4 x 10⁵ | 12.0 | | 0.86 | 8.6 x 10⁻⁴ | 2.32 x 10⁻⁶ | 4.3 x 10⁵ | 39.7 | | 0.65 | 6.5 x 10⁻⁴ | 1.33 x 10⁻⁶ | 7.5 x 10⁵ | 68.9 | | 0.6 | 6.0 x 10⁻⁴ | 1.13 x 10⁻⁶ | 8.8 x 10⁵ | 81.6 | - **Wire Length:** 5.8 meters - **Slope of Resistance vs. 1/A:** \( 6 \times 10^{-4} \) - **Resistivity of Silver (Slope / Wire Length):** \( 1.46 \times 10^{-4} \) - **% Error (Theoretical resistivity of Silver is \( 1.59 \times 10^{-8} \) Ohm·m):** 8.18% **Notes and Explanation:** 1. The table presents data for different wire radii and their corresponding cross-sectional areas, inverse cross-sectional areas, and resistances. 2. The slope of the resistance compared to the inverse of the cross-sectional area (\( \frac{1}{A} \)) is \( 6 \times 10^{-4} \), which is used to calculate the resistivity of silver by dividing by the wire length.
Transcribed Image Text:**Table 2: R vs. 1/A** | Wire Radius (mm) | Wire Radius (m) | Cross-sectional Area, πr² (m²) | 1/A (m⁻²) | Resistance (Ohms) | |------------------|-----------------|-------------------------------|-----------|-------------------| | 0.9 | 9.0 x 10⁻⁴ | 2.54 x 10⁻⁶ | 3.9 x 10⁵ | 36.5 | | 1.5 | 1.5 x 10⁻³ | 7.07 x 10⁻⁶ | 1.4 x 10⁵ | 12.0 | | 0.86 | 8.6 x 10⁻⁴ | 2.32 x 10⁻⁶ | 4.3 x 10⁵ | 39.7 | | 0.65 | 6.5 x 10⁻⁴ | 1.33 x 10⁻⁶ | 7.5 x 10⁵ | 68.9 | | 0.6 | 6.0 x 10⁻⁴ | 1.13 x 10⁻⁶ | 8.8 x 10⁵ | 81.6 | - **Wire Length:** 5.8 meters - **Slope of Resistance vs. 1/A:** \( 6 \times 10^{-4} \) - **Resistivity of Silver (Slope / Wire Length):** \( 1.46 \times 10^{-4} \) - **% Error (Theoretical resistivity of Silver is \( 1.59 \times 10^{-8} \) Ohm·m):** 8.18% **Notes and Explanation:** 1. The table presents data for different wire radii and their corresponding cross-sectional areas, inverse cross-sectional areas, and resistances. 2. The slope of the resistance compared to the inverse of the cross-sectional area (\( \frac{1}{A} \)) is \( 6 \times 10^{-4} \), which is used to calculate the resistivity of silver by dividing by the wire length.
**Table 1: R vs. L** **Header Information**: - **Wire Radius**: - mm: 0.69 - m: 6.9 x 10^-4 - **Cross-sectional Area, πr² (m²)**: 1.5 x 10^-6 **Data Table**: - **Columns**: 1. **Wire Length (m)** 2. **Resistance (Ohms)** - **Rows**: - 5.1 m corresponds to 3.78 Ohms - 7.6 m corresponds to 5.66 Ohms - 5.5 m corresponds to 4.14 Ohms - 6.6 m corresponds to 4.95 Ohms - 7.7 m corresponds to 5.73 Ohms **Calculation Results**: - **Slope of Resistance vs. Wire Length**: 0.741 - **Resistivity of Nichrome**: - Equation: Slope x Cross-sectional Area - Result: 1.1115 x 10^-6 - **Percentage Error**: - Compared to theoretical resistivity of Nichrome (100 x 10^-8 Ohm-m) - Result: 11.15%
Transcribed Image Text:**Table 1: R vs. L** **Header Information**: - **Wire Radius**: - mm: 0.69 - m: 6.9 x 10^-4 - **Cross-sectional Area, πr² (m²)**: 1.5 x 10^-6 **Data Table**: - **Columns**: 1. **Wire Length (m)** 2. **Resistance (Ohms)** - **Rows**: - 5.1 m corresponds to 3.78 Ohms - 7.6 m corresponds to 5.66 Ohms - 5.5 m corresponds to 4.14 Ohms - 6.6 m corresponds to 4.95 Ohms - 7.7 m corresponds to 5.73 Ohms **Calculation Results**: - **Slope of Resistance vs. Wire Length**: 0.741 - **Resistivity of Nichrome**: - Equation: Slope x Cross-sectional Area - Result: 1.1115 x 10^-6 - **Percentage Error**: - Compared to theoretical resistivity of Nichrome (100 x 10^-8 Ohm-m) - Result: 11.15%
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