To determine the resistance ranking of the wire used for clothes dryers, we need to understand the relationship between resistance and wire diameter. In general, the resistance of a wire is inversely proportional to its diameter. This means that a wire with a smaller diameter will have a higher resistance, and a wire with a larger diameter will have a lower resistance.
Here are the given diameters:
1. Stove tops: [tex]\(4.1154\)[/tex] mm
2. Clothes dryers: [tex]\(2.5882\)[/tex] mm
3. Light fixtures: [tex]\(1.6277\)[/tex] mm
4. Lamp cords: [tex]\(1.0237\)[/tex] mm
Let's list the diameters in ascending order to identify their resistances from highest to lowest:
1. Lamp cords: [tex]\(1.0237\)[/tex] mm (smallest diameter, therefore highest resistance)
2. Light fixtures: [tex]\(1.6277\)[/tex] mm
3. Clothes dryers: [tex]\(2.5882\)[/tex] mm
4. Stove tops: [tex]\(4.1154\)[/tex] mm (largest diameter, therefore lowest resistance)
Now, by comparing the diameters, we can assign resistance rankings:
- Lamp cords: Highest resistance (1st)
- Light fixtures: Second highest resistance (2nd)
- Clothes dryers: Third highest resistance (3rd)
- Stove tops: Lowest resistance (4th)
Therefore, the resistance ranking of the wire used to power clothes dryers is:
D. Third
