Let's break down the functions of the electric motor components to determine which belong to the cells marked [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] in Elena's table.
1. Brush in an electric motor:
- This component typically has the function of conducting current to the armature and also reversing the direction of the current when appropriate.
2. Commutator in an electric motor:
- The commutator is designed to rotate as a result of changing magnetic forces within the motor. It essentially changes the direction of current flow, allowing the motor to maintain a consistent rotation direction.
Given the descriptions of these components, we can align the functions accordingly.
- [tex]\(X\)[/tex] should be: "Conducts current to the armature and reverses direction of current." This matches the function of the Brush.
- [tex]\(Y\)[/tex] should be: "Rotates as a result of changing magnetic forces." This matches the function of the Commutator.
Thus, the correct pairing of functions for Elena's table is:
[tex]\[
\begin{tabular}{|l|c|}
\hline \multicolumn{1}{|c|}{Component} & Function \\
\hline Brush & Conducts current to the armature and reverses direction of current \\
\hline Commutator & Rotates as a result of changing magnetic forces \\
\hline
\end{tabular}
\][/tex]
So the correct choice from the given options is:
[tex]\[
\mathbf{X: Conducts\ current\ to\ the\ armature\ and\ reverses\ direction\ of\ current}\\
\mathbf{Y: Rotates\ as\ a\ result\ of\ changing\ magnetic\ forces}
\][/tex]
Thus, the pair for [tex]\(X\)[/tex] and [tex]\(Y\)[/tex] is:
[tex]\[
(1, 2)
\][/tex]
