Answered

The table shows the diameters of four different types of electrical wire. If the resistance of the four wires is ranked from highest to lowest, how does the resistance of a wire used to power clothes dryers rank?

\begin{tabular}{|l|l|}
\hline
Wire diameter (mm) & Use \\
\hline
4.1154 & Stove tops \\
\hline
2.5882 & Clothes dryers \\
\hline
1.6277 & Light fixtures \\
\hline
1.0237 & Lamp cords \\
\hline
\end{tabular}

A. Third
B. Fourth
C. First
D. Second



Answer :

GinnyAnswer
To find the rank of the resistance for the wire used to power clothes dryers, follow these steps:

1. Understand the Relationship Between Diameter and Resistance: The resistance of a wire is inversely proportional to its diameter. This means that a wire with a larger diameter will have less resistance, while a wire with a smaller diameter will have more resistance.

2. List the Diameters: We have the diameters of four different wires as follows:
- Stove tops: 4.1154 mm
- Clothes dryers: 2.5882 mm
- Light fixtures: 1.6277 mm
- Lamp cords: 1.0237 mm

3. Identify the Resistances: Since resistance is inversely proportional to the diameter, we should order these diameters from smallest to largest to rank their resistances from highest to lowest.
- Smallest diameter (highest resistance): 1.0237 mm (Lamp cords)
- Second smallest: 1.6277 mm (Light fixtures)
- Third smallest: 2.5882 mm (Clothes dryers)
- Largest diameter (lowest resistance): 4.1154 mm (Stove tops)

4. Rank the Resistances: Based on the above ordering:
- 1st highest resistance: Lamp cords
- 2nd highest resistance: Light fixtures
- 3rd highest resistance: Clothes dryers
- 4th highest resistance: Stove tops

5. Find the Rank for Clothes Dryers: From our ordered list, the resistance of the wire used for clothes dryers is ranked third highest.

Therefore, the correct answer is A. Third.