What is the period (T) of a periodic waveform with a frequency of 1000 Hz?Group of answer choices10 μs10 ms100 ms1 ms
Question
What is the period (T) of a periodic waveform with a frequency of 1000 Hz?
Group of answer choices
- 10 μs
- 10 ms
- 100 ms
- 1 ms
Solution
The period (T) of a waveform is the reciprocal of the frequency (f). It can be calculated using the formula:
T = 1/f
Given that the frequency (f) is 1000 Hz, we can substitute this value into the formula:
T = 1/1000
This calculation gives us a period (T) of 0.001 seconds. However, the answer choices are given in microseconds (μs) and milliseconds (ms), so we need to convert seconds to these units.
1 second is equal to 1,000,000 microseconds (μs) or 1000 milliseconds (ms). Therefore,
0.001 seconds = 0.001 * 1,000,000 μs = 1000 μs 0.001 seconds = 0.001 * 1000 ms = 1 ms
So, the period (T) of a periodic waveform with a frequency of 1000 Hz is 1 ms.
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