How long does it take for a 60Hz voltage wave to complete 1/4 of its cycle?

To determine the time it takes for a 60Hz voltage wave to complete 1/4 of its cycle, it's essential to first understand the relationship between frequency and time period. A frequency of 60Hz means that the wave completes 60 cycles in one second.

The time period (the duration of one complete cycle) can be calculated using the formula:

Time Period (T) = 1 / Frequency

For a frequency of 60Hz:

T = 1 / 60 seconds

Now, to find the time taken to complete 1/4 of a cycle, simply divide the time period by 4:

(1/60) / 4 = 1/240 seconds

Therefore, it takes 1/240 seconds for a 60Hz voltage wave to complete 1/4 of its cycle, which makes this the correct answer. This understanding of conversion between frequency and time is crucial for analyzing alternating current signals and their behavior in electrical systems.