The conversion of 5 kHz to microseconds (us) results in 200 us. This means a frequency of 5 kHz corresponds to a period of 200 microseconds.
Since frequency in kilohertz measures how many cycles occur per second, the period in microseconds is the reciprocal. To convert, divide 1,000 (microseconds in a millisecond) by the frequency in kHz, giving the duration of one cycle in microseconds.
Conversion Result
5 kHz is equal to 200 microseconds (us)
Conversion Tool
Result in us:
Conversion Formula
The formula to convert kilohertz to microseconds is based on the relationship between frequency and period. Since frequency (f) is cycles per second, the period (T) in seconds equals 1 divided by f. When working in kHz, multiply the period in seconds by 1,000,000 to get microseconds.
Mathematically, T (us) = 1,000 / f (kHz). For example, at 5 kHz, T = 1,000 / 5 = 200 us, which means each cycle lasts 200 microseconds. This conversion works because frequency and period are inverses, scaled appropriately for units.
Conversion Example
- Convert 10 kHz:
- Calculate T = 1000 / 10 = 100 us
- Convert 2.5 kHz:
- Calculate T = 1000 / 2.5 = 400 us
- Convert 15 kHz:
- Calculate T = 1000 / 15 ≈ 66.67 us
- Convert 0.5 kHz:
- Calculate T = 1000 / 0.5 = 2000 us
- Convert 20 kHz:
- Calculate T = 1000 / 20 = 50 us
Conversion Chart
| kHz | microseconds (us) |
|---|---|
| -20.0 | -50.00 |
| -15.0 | -66.67 |
| -10.0 | -100.00 |
| -5.0 | -200.00 |
| 0.0 | Infinity or undefined |
| 5.0 | 200.00 |
| 10.0 | 100.00 |
| 15.0 | 66.67 |
| 20.0 | 50.00 |
| 25.0 | 40.00 |
| 30.0 | 33.33 |
This chart helps to quickly see the period in microseconds for a range of frequencies from -20 to 30 kHz. Negative values are theoretical and not physically meaningful but included for completeness. For positive values, simply find the kHz and read across to the microseconds.
Related Conversion Questions
- What is the period in microseconds for a 5 kHz signal?
- How do I convert 5 kHz to the duration of one cycle in microseconds?
- What microsecond value corresponds to 5 kilohertz?
- How long does one cycle last in microseconds at 5 kHz?
- Can you tell me the period in us for 5 kHz frequency?
- What is the time in microseconds for a 5,000 Hz wave?
Conversion Definitions
khz
The kilohertz (kHz) is a unit of frequency representing one thousand cycles per second, used to measure how often an event, like a wave oscillation, repeats over time in electronic and communication systems.
us
Microseconds (us) are a unit of time equal to one millionth of a second, commonly used to measure very short durations like the period of high-frequency signals in electronics and signal processing.
Conversion FAQs
What does 5 kHz mean in terms of signal period?
It indicates that the signal completes 5,000 cycles every second, with each cycle lasting 200 microseconds, which is the time for one oscillation or wave to complete.
How is the period in microseconds calculated from frequency in kHz?
The period T in microseconds equals 1,000 divided by the frequency in kHz, since 1 kHz equals 1,000 cycles per second, and the period is the reciprocal scaled for microseconds.
Why does the period decrease when the frequency increases?
Because frequency and period are inversely related: as cycles occur more rapidly (higher frequency), each cycle’s duration becomes shorter, leading to a smaller period in microseconds.
Can I use this conversion for frequencies above 30 kHz?
Yes, but note that at very high frequencies, measurement accuracy can be limited by the precision of your instruments, and the formula still applies for calculating the period.
What happens if I input zero or negative values in the conversion tool?
Zero or negative frequencies are not physically meaningful in this context; the tool may show infinity, undefined, or negative values, which indicate invalid or theoretical points outside normal operation.
