An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Current Y has a greater potential difference.
Current X has a faster rate of charge flow.
Current Y has a greater potential difference, and the charges flow at a slower rate.
The answer is: C u rre n t Yha s a g re a t er p o t e n t ia l d i ff ere n ce , an d t h ec ha r g es f l o w a t a s l o w err a t e .
Explanation
Understanding the Problem We are given the measurements of two electric currents, X and Y, in terms of Volts (potential difference) and Amperes (rate of charge flow). We need to compare these currents based on the given data and choose the correct statement.
Comparing Potential Difference First, let's compare the potential difference (Volts) of the two currents:
Current X has 1.5 Volts.
Current Y has 9 Volts. Therefore, Current Y has a greater potential difference than Current X.
Comparing Rate of Charge Flow Next, let's compare the rate of charge flow (Amperes) of the two currents:
Current X has 7.8 Amperes.
Current Y has 0.5 Amperes. Therefore, Current X has a faster rate of charge flow than Current Y (charges flow at a faster rate).
Conclusion Now, let's combine our findings to choose the correct statement. We found that Current Y has a greater potential difference, and 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.
Examples
Understanding electric currents is crucial in designing circuits and electronic devices. For example, when designing a simple circuit with a battery and a light bulb, you need to consider both the voltage (potential difference) provided by the battery and the current (rate of charge flow) required by the light bulb. If the voltage is too low, the light bulb won't light up properly. If the current is too high, the light bulb may burn out. By carefully selecting components with appropriate voltage and current ratings, you can ensure that the circuit functions correctly and safely. This problem illustrates the basic comparison of currents, which is a fundamental concept in electrical engineering.
