The conversion of 5 kHz to microseconds (us) results in 200 us. This means a frequency of 5 kilohertz corresponds to a time period of 200 microseconds.
Since frequency and time period are inversely related, converting 5 kHz to microseconds involves taking the reciprocal of the frequency in hertz and then converting seconds to microseconds. In simple terms, one cycle at 5 kHz lasts 200 microseconds because 1 divided by 5000 Hz equals 0.0002 seconds, which is 200 microseconds.
What is 5 kHz in microseconds?
Converting 5 kilohertz to microseconds means finding out how long one cycle of a wave at that frequency lasts. Since 5 kHz means 5000 cycles per second, each cycle takes 1/5000 seconds. Converting seconds to microseconds involves multiplying by 1,000,000. So, each cycle lasts 200 microseconds.
Conversion Tool
Result in us:
Conversion Formula
The formula to convert kilohertz to microseconds is based on the inverse relationship between frequency and time period. It is: Time (us) = 1 / (Frequency in kHz) * 1000. The multiplication by 1000 converts seconds to microseconds because 1 second equals 1,000,000 microseconds, but since frequency is in kHz, we adjust accordingly. For example, at 5 kHz, the calculation is 1 / 5 * 1000 = 200 us, indicating each cycle last 200 microseconds.
Conversion Example
- Convert 10 kHz:
- Step 1: Find reciprocal of 10 kHz: 1 / 10 = 0.1 seconds
- Step 2: Convert seconds to microseconds: 0.1 * 1,000,000 = 100,000 us
- Result: 10 kHz equals 100,000 us per cycle
- Convert 2 kHz:
- Step 1: Reciprocal of 2 kHz: 1 / 2 = 0.5 seconds
- Step 2: Convert seconds to microseconds: 0.5 * 1,000,000 = 500,000 us
- Result: 2 kHz equals 500,000 us per cycle
- Convert 20 kHz:
- Step 1: Reciprocal of 20 kHz: 1 / 20 = 0.05 seconds
- Step 2: Convert seconds to microseconds: 0.05 * 1,000,000 = 50,000 us
- Result: 20 kHz equals 50,000 us per cycle
Conversion Chart
| Frequency (kHz) | Time per cycle (us) |
|---|---|
| -20.0 | -50,000 |
| -15.0 | -66,666.67 |
| -10.0 | -100,000 |
| -5.0 | -200,000 |
| 0.0 | Infinity |
| 5.0 | 200 |
| 10.0 | 100 |
| 15.0 | 66,666.67 |
| 20.0 | 50,000 |
| 25.0 | 40,000 |
| 30.0 | 33,333.33 |
This chart helps you see how different frequencies in kHz relate to their cycle durations in microseconds. To find the cycle time for any frequency, locate the value in the first column and read across.
Related Conversion Questions
- How long is one cycle at 5 kHz in microseconds?
- What is the period of a 5 kHz wave in microseconds?
- How do I convert 5 kHz to microseconds per cycle?
- What is the time duration of a 5 kilohertz frequency in microseconds?
- At 5 kHz, how many microseconds does each cycle last?
- How to calculate the cycle length in microseconds for 5 kHz?
- What is the microsecond period for a wave oscillating at 5,000 Hz?
Conversion Definitions
khz
Khz stands for kilohertz, a unit measuring frequency equal to 1,000 cycles per second. It is used to describe how many oscillations or waves occur in one second in electronic signals, sound, or other wave phenomena.
us
Us means microseconds, a time measurement equal to one millionth of a second. It is used to quantify very short durations of time, such as the period of high-frequency signals or the latency in electronic circuits.
Conversion FAQs
How does increasing frequency affect the cycle duration in microseconds?
As frequency increases, the cycle duration decreases because they are inversely related. For example, doubling the frequency halves the time per cycle, making signals oscillate faster with shorter periods.
Can I use the same formula to convert any frequency in kHz to microseconds?
Yes, the formula Time (us) = 1 / (Frequency in kHz) * 1000 applies to all frequencies. It accurately calculates the cycle duration in microseconds by taking the reciprocal of the frequency in kHz and converting seconds to microseconds.
Why does the cycle duration at 0 kHz show as infinity in the chart?
At 0 kHz, there is no oscillation, so the period is infinite because the wave does not repeat. This is a theoretical value showing that with zero frequency, the concept of a cycle length does not have a finite duration.