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The conversion of 5 kHz to microseconds (us) results in 200.0 us. This is because 1 kHz corresponds to a period of 1 millisecond divided by 1,000, which equals 1 microsecond, so 5 kHz equals 200 microseconds.
Frequency in kilohertz (kHz) measures how many cycles occur per thousand seconds, while microseconds (us) measure the duration of a single cycle. To convert, you take the reciprocal of frequency in kHz and multiply by 1,000 to get microseconds. For 5 kHz, the calculation is 1 / 5 * 1000 = 200 us.
Conversion Result
5 kHz equals 200 microseconds (us).
Conversion Tool
Result in us:
Conversion Formula
The formula to convert kHz to us is: period (us) = 1000 / frequency (kHz). This works because frequency is the number of cycles per second, so the duration of one cycle in microseconds is the reciprocal of the frequency in kHz multiplied by 1000. For example, for 5 kHz: 1000 / 5 = 200 us.
Conversion Example
- Convert 10 kHz to us:
- Calculate 1000 / 10 = 100 us.
- This means each cycle takes 100 microseconds.
- Convert 2 kHz to us:
- Calculate 1000 / 2 = 500 us.
- Each cycle last half a millisecond.
- Convert 25 kHz to us:
- Calculate 1000 / 25 = 40 us.
- Frequency increases, so duration decreases.
- Convert 0.5 kHz to us:
- Calculate 1000 / 0.5 = 2000 us.
- Lower frequency results in longer cycle duration.
- Convert 50 kHz to us:
- Calculate 1000 / 50 = 20 us.
- Higher frequency means shorter cycle time.
Conversion Chart
| kHz | Microseconds (us) |
|---|---|
| -20.0 | -50.0 |
| -10.0 | -100.0 |
| -5.0 | -200.0 |
| 0.0 | NaN |
| 5.0 | 200.0 |
| 10.0 | 100.0 |
| 15.0 | 66.67 |
| 20.0 | 50.0 |
| 25.0 | 40.0 |
| 30.0 | 33.33 |
The chart shows kHz values in the first column, with their corresponding cycle durations in microseconds in the second. To read, locate the kHz value and see its cycle time in microseconds.
Related Conversion Questions
- How long does one cycle last at 5 kHz in microseconds?
- What is the period in microseconds for 5 kilohertz frequency?
- Convert 5 kHz to microseconds per cycle.
- How do I find the cycle duration in microseconds for a 5 kHz signal?
- What is the time period in microseconds for 5,000 Hz?
- At 5 kHz, how many microseconds is each cycle?
- How can I calculate the cycle time in microseconds from 5 kHz?
Conversion Definitions
khz
Khz stands for kilohertz, a unit of frequency equal to 1,000 cycles per second. It’s used to measure how often a repeating event occurs in one second, often in electronics, signals, and audio frequencies.
us
Us, microseconds, is a unit of time representing one millionth of a second, used to measure very short durations like wave cycles, signal processing intervals, and high-speed electronic events.
Conversion FAQs
What does it mean when 5 kHz corresponds to 200 us?
This means that each cycle of the signal occurs every 200 microseconds, indicating how quickly or slowly the wave repeats based on its frequency of 5,000 cycles per second.
Why does increasing frequency decrease the cycle duration in microseconds?
Because as frequency increases, the time for each cycle gets shorter, since more cycles happen in a second. The reciprocal relationship makes higher frequencies correspond to shorter times per cycle.
Can I convert any frequency in kHz to microseconds using the same formula?
Yes, as long as the frequency is expressed in kilohertz, you can use the same formula: 1000 divided by the frequency in kHz to get the cycle duration in microseconds.
What happens if I input zero or a negative number in the conversion tool?
Inputting zero results in division by zero, which is undefined, and negative frequencies are not physically meaningful in this context. The tool may show an error or no result for these inputs.
