An engineering intern is studying the effect of temperature on the resistance of a current carrying wire. She applies a voltage to a aluminum wire at a temperature of 54.0°C and notes that it produces a current of 1.40 A. If she then applies the same voltage to the same wire at -88.0°C, what current should she expect (in A)? The temperature coefficient of resistivity for aluminum is 3.90 x 10-3 (°C)-¹. (Assume that the reference temperature is 20°C.)

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**Study of Temperature Effects on Electrical Resistance in Aluminum Wire**

An engineering intern is researching how temperature affects the resistance of a wire carrying current. Initially, the intern applied a specific voltage to an aluminum wire at a temperature of 54.0°C, which resulted in a current of 1.40 A. The inquiry then explores what current would be observed if the same voltage is applied to the same wire, but at a much lower temperature of -88.0°C.

**Parameters:**
- **Current at 54.0°C:** 1.40 A
- **Reference Temperature:** 20°C
- **Temperature Coefficient of Resistivity for Aluminum:** 3.90 x 10⁻³ (°C)⁻¹

The intern is tasked with calculating the expected current at the altered temperature of -88.0°C.

---

This study aids in understanding how resistive properties in materials like aluminum change with temperature, which is critical in designing electrical systems for environments with varying temperatures.
Transcribed Image Text:**Study of Temperature Effects on Electrical Resistance in Aluminum Wire** An engineering intern is researching how temperature affects the resistance of a wire carrying current. Initially, the intern applied a specific voltage to an aluminum wire at a temperature of 54.0°C, which resulted in a current of 1.40 A. The inquiry then explores what current would be observed if the same voltage is applied to the same wire, but at a much lower temperature of -88.0°C. **Parameters:** - **Current at 54.0°C:** 1.40 A - **Reference Temperature:** 20°C - **Temperature Coefficient of Resistivity for Aluminum:** 3.90 x 10⁻³ (°C)⁻¹ The intern is tasked with calculating the expected current at the altered temperature of -88.0°C. --- This study aids in understanding how resistive properties in materials like aluminum change with temperature, which is critical in designing electrical systems for environments with varying temperatures.
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