Final answer:
An ideal wire is a hypothetical concept in physics representing a perfect conductor with no resistance, used to simplify circuit analysis. In reality, wires have resistance that can be affected by temperature, length, and diameter. The resistance of real wires can increase due to temperature changes or physical deformation such as stretching, but such changes are generally not common under normal household conditions.
Step-by-step explanation:
When considering an ideal wire, we're dealing with a hypothetical model used in physics to represent a perfect conductor with no resistance. This concept is utilized to simplify the analysis of electrical circuits. However, in practical terms, all real wires have some resistance. For example, a wire, originally at 20.0°C, would need to experience a significant increase in temperature to double its resistance, neglecting any changes in dimensions. In household wiring under ordinary circumstances, such a change in resistance is not common as it would require an unsafe and impractical temperature change.
Furthermore, if we were to consider another wire of the same material and length but double the diameter, its resistance would be lower due to the increased area for the electric current to flow through. In the scenario where a wire is drawn through a die and stretched to four times its original length, its resistance would increase significantly, theoretically by a factor of sixteen, due to the increase in length and decrease in cross-sectional area.
In circuit analysis and physics problems, it's essential to understand how different factors, such as temperature, length, and diameter of a wire, affect its resistance to accurately predict the behavior of electric circuits. These considerations are crucial for engineering applications where precise control over electrical properties is needed.