If the wire is heated to 34.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?

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determine the current in the wire. (Use the values in the following table.)

 If the wire is heated to 34.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?

 

### Problem Statement

(a) A 34.7-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.)

### Table: Electrical Properties of Materials

| Material      | Resistivity (Ω·m) | Temperature Coefficient of Resistivity α [(°C)⁻¹] |
|---------------|-------------------|-------------------------------------------------|
| Silver        | 1.59 × 10⁻⁸       | 3.8 × 10⁻³                                     |
| Copper        | 1.7 × 10⁻⁸        | 3.9 × 10⁻³                                     |
| Gold          | 2.44 × 10⁻⁸       | 3.4 × 10⁻³                                     |
| Aluminum      | 2.82 × 10⁻⁸       | 3.9 × 10⁻³                                     |
| Tungsten      | 5.6 × 10⁻⁸        | 4.5 × 10⁻³                                     |
| Iron          | 10.0 × 10⁻⁸       | 5.0 × 10⁻³                                     |
| Platinum      | 11 × 10⁻⁸         | 3.92 × 10⁻³                                    |
| Lead          | 22 × 10⁻⁸         | 3.9 × 10⁻³                                     |
| Nichrome (c)  | 1.00 × 10⁻⁶       | 0.4 × 10⁻³                                     |
| Carbon        | 3.5 × 10⁻⁵        | −0.5 × 10⁻³                                    |
| Germanium     | 0.46              | −48 × 10⁻³                                     |
| Silicon (d)   | 2.3 × 10³         | −75 × 10⁻³                                     |
| Glass         | 10¹⁰–10¹⁴         |                                                 |
| Hard rubber   | ≈10¹³             |                                                 |
| Sulfur        | 10¹⁵              |                                                 |
| Quartz (
Transcribed Image Text:### Problem Statement (a) A 34.7-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) ### Table: Electrical Properties of Materials | Material | Resistivity (Ω·m) | Temperature Coefficient of Resistivity α [(°C)⁻¹] | |---------------|-------------------|-------------------------------------------------| | Silver | 1.59 × 10⁻⁸ | 3.8 × 10⁻³ | | Copper | 1.7 × 10⁻⁸ | 3.9 × 10⁻³ | | Gold | 2.44 × 10⁻⁸ | 3.4 × 10⁻³ | | Aluminum | 2.82 × 10⁻⁸ | 3.9 × 10⁻³ | | Tungsten | 5.6 × 10⁻⁸ | 4.5 × 10⁻³ | | Iron | 10.0 × 10⁻⁸ | 5.0 × 10⁻³ | | Platinum | 11 × 10⁻⁸ | 3.92 × 10⁻³ | | Lead | 22 × 10⁻⁸ | 3.9 × 10⁻³ | | Nichrome (c) | 1.00 × 10⁻⁶ | 0.4 × 10⁻³ | | Carbon | 3.5 × 10⁻⁵ | −0.5 × 10⁻³ | | Germanium | 0.46 | −48 × 10⁻³ | | Silicon (d) | 2.3 × 10³ | −75 × 10⁻³ | | Glass | 10¹⁰–10¹⁴ | | | Hard rubber | ≈10¹³ | | | Sulfur | 10¹⁵ | | | Quartz (
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