To solve this problem, we need to compare two aspects of the given electric currents [tex]\( X \)[/tex] and [tex]\( Y \)[/tex]: the potential difference (measured in volts) and the rate of charge flow (measured in amperes).
Let’s evaluate both of these aspects step-by-step:
1. Potential Difference (Volts) Comparison:
- For Current [tex]\( X \)[/tex], the potential difference is 1.5 volts.
- For Current [tex]\( Y \)[/tex], the potential difference is 9 volts.
We compare these values:
- Since 1.5 volts (for [tex]\( X \)[/tex]) is less than 9 volts (for [tex]\( Y \)[/tex]), Current [tex]\( Y \)[/tex] has a greater potential difference.
2. Rate of Charge Flow (Amperes) Comparison:
- 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.
We compare these values:
- Since 7.8 amperes (for [tex]\( X \)[/tex]) is greater than 0.5 amperes (for [tex]\( Y \)[/tex]), the charges flow at a faster rate in Current [tex]\( X \)[/tex].
Combining these two comparisons:
- Current [tex]\( Y \)[/tex] has a greater potential difference.
- The charges flow at a faster rate in Current [tex]\( X \)[/tex].
Thus, the correct statement describing the comparison of the two currents is:
- Current [tex]\( Y \)[/tex] has a greater potential difference, and the charges flow at a faster rate.
Therefore, the best comparison among the given options is:
Current [tex]\( Y \)[/tex] has a greater potential difference, and the charges flow at a faster rate.
