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Measurements of two electric currents are shown in the chart.

\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.

Sagot :

GinnyAnswer
To solve this problem, we need to compare the potential difference (volts) and the rate of charges flow (amperes) between currents X and Y. Let's analyze the given data:

| Current | Volts | Amperes |
|---------|-------|---------|
| X | 1.5 | 7.8 |
| Y | 9 | 0.5 |

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

Comparing these, [tex]\(9\)[/tex] volts (Current Y) is greater than [tex]\(1.5\)[/tex] volts (Current X).

2. Rate of Charges Flow (Amperes) Comparison:
- For Current X: The flow rate is [tex]\(7.8\)[/tex] amperes.
- For Current Y: The flow rate is [tex]\(0.5\)[/tex] amperes.

Comparing these, [tex]\(7.8\)[/tex] amperes (Current X) is greater than [tex]\(0.5\)[/tex] amperes (Current Y).

Based on the comparisons:

- Current Y has a greater potential difference than Current X.
- The charges in Current Y flow at a slower rate than in Current X.

Let's examine the provided statements one by one:

1. Current X has a greater potential difference, and the charges flow at a slower rate:
- This statement is incorrect because Current X does not have a greater potential difference; Current Y does. Also, the charges in Current X flow at a faster rate, not slower.

2. Current Y has a greater potential difference, and the charges flow at a slower rate:
- This statement is correct. Current Y indeed has a greater potential difference and charges flow at a slower rate compared to Current X.

3. Current X has a greater potential difference, and the charges flow at a faster rate:
- This statement is incorrect because Current X does not have a greater potential difference; Current Y does.

4. Current Y has a greater potential difference, and the charges flow at a faster rate:
- This statement is incorrect because while Current Y does have a greater potential difference, charges flow at a slower rate in Current Y, not faster.

Therefore, the correct comparison is:

Current Y has a greater potential difference, and the charges flow at a slower rate.
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