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

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

• A. 1/60 seconds
• B. 1/120 seconds
• C. 1/240 seconds
• D. 1/360 seconds

Answer: (C)

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.

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.