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.
