An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Current Y has a greater potential difference.
Current X has a faster rate of charge flow.
Therefore, Current Y has a greater potential difference, and the charges flow at a slower rate.
The answer is: Current Y has a greater potential difference, and the charges flow at a slower rate.
Explanation
Understanding the Problem We are given a table with the measurements of two electric currents, X and Y. We need to compare these currents based on their potential difference (measured in Volts) and the rate of charge flow (measured in Amperes).
Comparing Potential Difference From the table, we can see that:
Current X has a potential difference of 1.5 Volts.
Current Y has a potential difference of 9 Volts.
Therefore, Current Y has a greater potential difference than Current X.
Comparing Rate of Charge Flow From the table, we can also see that:
Current X has a current of 7.8 Amperes.
Current Y has a current of 0.5 Amperes.
Therefore, Current X has a faster rate of charge flow than Current Y.
Conclusion Based on our comparisons:
Current Y has a greater potential difference.
Current X has a faster rate of charge flow (charges flow at a faster rate).
Therefore, the correct answer is:
Current Y has a greater potential difference, and the charges flow at a slower rate.
Examples
Understanding electric currents is crucial in many real-world applications. For example, when designing electronic circuits, engineers need to carefully consider the voltage and current requirements of each component. A higher voltage can deliver more power, while a higher current indicates a faster flow of charge. Knowing how to compare these properties helps in selecting the right components and ensuring the circuit functions correctly. Similarly, in power transmission, understanding the relationship between voltage and current is essential for efficient energy distribution.
Approximately 2.81 x 10^21 electrons flow through the device delivering a current of 15.0 A for 30 seconds. This is calculated using the relationship between current, time, and charge, along with the charge of a single electron. Therefore, the number of electrons is derived from the total charge divided by the elementary charge of an electron.
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