1 kHz equals 1000 microseconds (µs).
Frequency measured in kilohertz (kHz) is the number of cycles per thousand seconds. To convert 1 kHz to microseconds, you find the period which is the inverse of frequency, then convert seconds to microseconds.
Conversion Tool
Result in microseconds:
Conversion Formula
The formula to convert kilohertz (kHz) to microseconds (µs) is based on the relationship between frequency and period. Frequency is how many cycles happen per second; period is how long one cycle takes.
Since 1 kHz = 1000 cycles per second, the period in seconds is calculated as:
Period (seconds) = 1 / Frequency (Hz)
Because 1 kHz = 1000 Hz, so:
Period = 1 / 1000 = 0.001 seconds
Then convert seconds to microseconds by multiplying by 1,000,000:
Period (µs) = 0.001 × 1,000,000 = 1000 µs
This shows 1 kHz equals 1000 microseconds per cycle.
Conversion Example
- Example 1: Convert 5 kHz to microseconds
- Frequency in Hz = 5,000 Hz
- Period (seconds) = 1 / 5,000 = 0.0002 s
- Period (µs) = 0.0002 × 1,000,000 = 200 µs
- Example 2: Convert 0.25 kHz to microseconds
- Frequency in Hz = 250 Hz
- Period (seconds) = 1 / 250 = 0.004 s
- Period (µs) = 0.004 × 1,000,000 = 4000 µs
- Example 3: Convert 12.5 kHz to microseconds
- Frequency in Hz = 12,500 Hz
- Period (seconds) = 1 / 12,500 = 0.00008 s
- Period (µs) = 0.00008 × 1,000,000 = 80 µs
Conversion Chart
| Frequency (kHz) | Period (µs) |
|---|---|
| -24.0 | Invalid (Frequency cannot be negative) |
| -12.0 | Invalid (Frequency cannot be negative) |
| -1.0 | Invalid (Frequency cannot be negative) |
| 0.1 | 10000000 |
| 0.5 | 2000000 |
| 1.0 | 1000000 |
| 2.0 | 500000 |
| 5.0 | 200000 |
| 10.0 | 100000 |
| 15.0 | 66666.67 |
| 20.0 | 50000 |
| 25.0 | 40000 |
| 26.0 | 38461.54 |
To use the chart, find your frequency value in kilohertz on the left column, then read across to see the equivalent period in microseconds. Negative values are invalid since frequency can’t be negative.
Related Conversion Questions
- How many microseconds does 1 kHz represent in period?
- What is the microseconds equivalent of 1 kilohertz frequency?
- Convert 1 kHz signal frequency into microseconds per cycle?
- How do you find microseconds from 1 kHz frequency?
- What is the formula to change 1 kHz into microseconds?
- Why does 1 kHz equal 1000 microseconds period?
- How long is one cycle in microseconds at 1 kHz?
Conversion Definitions
kHz: Kilohertz (kHz) is a unit of frequency equal to one thousand cycles per second. It measures the number of oscillations or wave cycles occurring every second, commonly used in audio, radio, and signal processing to describe frequencies above the audible range.
Microseconds: Microseconds (µs) are units of time equal to one millionth of a second. They are used to measure very short durations, like the period of high-frequency signals, response times in electronics, and timing events where precision down to millionths of a second is required.
Conversion FAQs
Can frequency in kHz be zero or negative when converting to microseconds?
No, frequency cannot be zero or negative since it represents cycles per second. Zero frequency means no cycles at all, and negative frequency does not exist in this context. Trying to convert zero or negative values to microseconds period results in invalid or undefined values.
Why does the period decrease when frequency increases?
Period is the inverse of frequency, so when frequency goes up, the time each cycle takes goes down. More cycles per second means each cycle must be shorter, so the period measured in microseconds becomes smaller as kilohertz grows larger.
Is the conversion formula different for frequencies other than 1 kHz?
The formula stays the same regardless of frequency. You just use the input frequency in kHz, convert it to Hz by multiplying by 1000, then take the inverse and convert seconds to microseconds. So it works for any positive frequency value.
How accurate is the conversion when using decimal kHz values?
The conversion is very accurate if you use precise decimal values and perform the calculations correctly. Since period is inverse frequency, even small decimal changes in kHz cause proportional changes in microseconds, so decimals are handled well in the formula.
Can this conversion be used for audio signals?
Yes, converting kHz to microseconds is useful in audio and signal processing to find the duration of one audio wave cycle. For example, 1 kHz audio tone has a period of 1000 microseconds, which can be important for timing and synthesis.
Last Updated : 19 July, 2025
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Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.