You've been asked to determine whether a new material your company has made ohmic and, if so, to measure its electrical conductivity. Taking a 0.50 mm x 1.0 mm x 45 mm sample, you wire the ends of the long axis to a power supply and then measure the current for several different potential differences. Your data are as follows: Voltage AV (V) Current I (A) 0.200 0.47 0.400 1.06 0.600 1.53 0.800 1.97 ▼ Part A You want to determine if the material is ohmic and its conductivity by graphing the data. Select the appropriate variables to graph on each axis that will produce a straight-line graph with a slope and intercept that will allow you to determine these properties. Sort all variables into the appropriate bins. Horizontal axis AV (AV)² Vertical axis AV Not used Reset Help

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**Determining Electrical Conductivity of a New Material**

You've been tasked with assessing whether a newly developed material is ohmic and measuring its electrical conductivity. A sample with dimensions 0.50 mm x 1.0 mm x 45 mm is tested by connecting its ends to a power supply. The current is measured across various potential differences, resulting in the following data:

| Voltage ΔV (V) | Current I (A) |
|-----------------|---------------|
| 0.200           | 0.47          |
| 0.400           | 1.06          |
| 0.600           | 1.53          |
| 0.800           | 1.97          |

**Part A: Graphing to Determine Ohmicity and Conductivity**

The objective is to determine if the material adheres to Ohm's Law and to calculate its conductivity (σ). To achieve a straight-line graph that reveals these properties, follow these steps:

- **Select Variables for Graphing:**
  - Horizontal axis: Choose the independent variable.
  - Vertical axis: Choose the dependent variable.
  
Available options:
- \( \frac{1}{\Delta V} \)
- \( (\Delta V)^2 \)
- \( \Delta V \)
- \( I \)

*Tip: For a material to be ohmic, the current (I) should be directly proportional to the voltage (ΔV), resulting in a linear relationship.*

Once the appropriate variables are selected, plot the data to identify the material’s behavior and conductivity characteristics.
Transcribed Image Text:**Determining Electrical Conductivity of a New Material** You've been tasked with assessing whether a newly developed material is ohmic and measuring its electrical conductivity. A sample with dimensions 0.50 mm x 1.0 mm x 45 mm is tested by connecting its ends to a power supply. The current is measured across various potential differences, resulting in the following data: | Voltage ΔV (V) | Current I (A) | |-----------------|---------------| | 0.200 | 0.47 | | 0.400 | 1.06 | | 0.600 | 1.53 | | 0.800 | 1.97 | **Part A: Graphing to Determine Ohmicity and Conductivity** The objective is to determine if the material adheres to Ohm's Law and to calculate its conductivity (σ). To achieve a straight-line graph that reveals these properties, follow these steps: - **Select Variables for Graphing:** - Horizontal axis: Choose the independent variable. - Vertical axis: Choose the dependent variable. Available options: - \( \frac{1}{\Delta V} \) - \( (\Delta V)^2 \) - \( \Delta V \) - \( I \) *Tip: For a material to be ohmic, the current (I) should be directly proportional to the voltage (ΔV), resulting in a linear relationship.* Once the appropriate variables are selected, plot the data to identify the material’s behavior and conductivity characteristics.
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