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Measurements of two electric currents are shown in the chart below.

Electric Currents

\begin{tabular}{|l|l|l|}
\hline
Current & \multicolumn{1}{|c|}{ Volts } & Amperes \\
\hline
[tex]$X$[/tex] & 1.5 & 7.8 \\
\hline
[tex]$Y$[/tex] & 9 & 0.5 \\
\hline
\end{tabular}

Which best compares the two currents?

A. Current [tex]$X$[/tex] has a greater potential difference, and the charges flow at a slower rate.
B. Current [tex]$Y$[/tex] has a greater potential difference, and the charges flow at a slower rate.
C. Current [tex]$X$[/tex] has a greater potential difference, and the charges flow at a faster rate.
D. Current [tex]$Y$[/tex] has a greater potential difference, and the charges flow at a faster rate.



Answer :

GinnyAnswer
To compare the two electric currents [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] based on the given measurements, we need to look at both the potential differences (volts) and the rate of charge flow (amperes) for each current.

Let’s analyze the data step-by-step:

1. Potential Difference (Volts):
- For Current [tex]\( X \)[/tex], the potential difference is 1.5 volts.
- For Current [tex]\( Y \)[/tex], the potential difference is 9 volts.

By comparing these values, we can see:
[tex]\[ \text{1.5 volts (Current X)} < \text{9 volts (Current Y)} \][/tex]
Thus, Current [tex]\( Y \)[/tex] has a greater potential difference than Current [tex]\( X \)[/tex].

2. Rate of Charge Flow (Amperes):
- For Current [tex]\( X \)[/tex], the rate of charge flow is 7.8 amperes.
- For Current [tex]\( Y \)[/tex], the rate of charge flow is 0.5 amperes.

By comparing these values, we can see:
[tex]\[ \text{7.8 amperes (Current X)} > \text{0.5 amperes (Current Y)} \][/tex]
Thus, the charges in Current [tex]\( X \)[/tex] flow at a faster rate than in Current [tex]\( Y \)[/tex].

Based on these comparisons, we can conclude:
- Current [tex]\( Y \)[/tex] has a greater potential difference.
- Charges in Current [tex]\( X \)[/tex] flow at a faster rate.

So the correct statement is:

Current [tex]\( Y \)[/tex] has a greater potential difference, and the charges flow at a faster rate.

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