Conversion of 1 kHz to Period
The value of 1 kHz equals 0.001 seconds in period.
Frequency and period inverse relate; frequency measures how many cycles occur per second, and the period is the duration of one cycle. To get the period from kHz, you divide 1 by the frequency in Hz. Since 1 kHz equals 1000 Hz, the period is 1 divided by 1000, which equals 0.001 seconds.
What is the conversion from 1 kHz to period?
To convert from frequency in kilohertz (kHz) to period in seconds, you first convert kHz to Hz by multiplying it by 1000. Then, you take the reciprocal of that value (divide 1 by the frequency in Hz). So, for 1 kHz, it becomes 1000 Hz, and the reciprocal is 1/1000, which gives 0.001 seconds. This means each cycle lasts one-thousandth of a second at 1 kHz.
Conversion Tool
Result in period:
Conversion Formula
The formula to convert khz to period is: period = 1 / (frequency in Hz). Since 1 kHz equals 1000 Hz, the calculation becomes period = 1 / (khz value * 1000). This works because frequency and period are inverses; as one increases, the other decreases. For example, at 2 kHz, period = 1 / (2 * 1000) = 0.0005 seconds.
Conversion Example
- Convert 2 kHz to period:
- Step 1: Convert 2 kHz to Hz: 2 * 1000 = 2000 Hz
- Step 2: Take the reciprocal: 1 / 2000 = 0.0005 seconds
- Result: The period is 0.0005 seconds
- Convert 0.5 kHz to period:
- Step 1: Convert 0.5 kHz to Hz: 0.5 * 1000 = 500 Hz
- Step 2: Reciprocal: 1 / 500 = 0.002 seconds
- Result: The period equals 0.002 seconds
- Convert 10 kHz to period:
- Step 1: Convert 10 kHz to Hz: 10 * 1000 = 10,000 Hz
- Step 2: Reciprocal: 1 / 10,000 = 0.0001 seconds
- Result: The period is 0.0001 seconds
Conversion Chart
| kHz | Period (seconds) |
|---|---|
| -24.0 | 1 / (-24.0 * 1000) = -0.0000417 |
| -23.0 | -0.0000435 |
| -22.0 | -0.0000455 |
| -21.0 | -0.0000476 |
| -20.0 | -0.00005 |
| -19.0 | -0.0000526 |
| -18.0 | -0.0000556 |
| -17.0 | -0.0000588 |
| -16.0 | -0.0000625 |
| -15.0 | -0.0000667 |
| -14.0 | -0.0000714 |
| -13.0 | -0.0000769 |
| -12.0 | -0.0000833 |
| -11.0 | -0.0000909 |
| -10.0 | -0.0001 |
| -9.0 | -0.000111 |
| -8.0 | -0.000125 |
| -7.0 | -0.000143 |
| -6.0 | -0.000167 |
| -5.0 | -0.0002 |
| -4.0 | -0.00025 |
| -3.0 | -0.000333 |
| -2.0 | -0.0005 |
| -1.0 | -0.001 |
| 0.0 | Infinity |
| 1.0 | 0.001 |
| 2.0 | 0.0005 |
| 3.0 | 0.000333 |
| 4.0 | 0.00025 |
| 5.0 | 0.0002 |
| 6.0 | 0.000167 |
| 7.0 | 0.000143 |
| 8.0 | 0.000125 |
| 9.0 | 0.000111 |
| 10.0 | 0.0001 |
| 11.0 | 0.0000909 |
| 12.0 | 0.0000833 |
| 13.0 | 0.0000769 |
| 14.0 | 0.0000714 |
| 15.0 | 0.0000667 |
| 16.0 | 0.0000625 |
| 17.0 | 0.0000588 |
| 18.0 | 0.0000556 |
| 19.0 | 0.0000526 |
| 20.0 | 0.00005 |
| 21.0 | 0.0000476 |
| 22.0 | 0.0000455 |
| 23.0 | 0.0000435 |
| 24.0 | 0.0000417 |
Use this chart to find period values for different kHz. Negative values technically give negative periods which aren’t physically meaningful, but it’s here for mathematical completeness.
Related Conversion Questions
- What is the period for 0.5 kHz frequency?
- How do I convert 10 kHz to seconds per cycle?
- What period corresponds to 5.5 kHz?
- At what period does 100 kHz operate?
- How long does one cycle last at 0.1 kHz?
- Can I convert 2.5 kHz to milliseconds?
- What is the period for a 50 Hz signal?
Conversion Definitions
kHz: Kilohertz (kHz) measures frequency, indicating thousands of cycles per second. It is a unit commonly used in electronics, audio, and radio fields to specify how fast signals oscillate or repeat within a second.
Period: The period is the duration of one complete cycle in a wave or oscillation, measured in seconds. It is the reciprocal of frequency, showing how long each cycle lasts, directly connecting the rate of oscillation to time.
Conversion FAQs
How does increasing frequency affect the period?
As the frequency increases, the period decreases because they are inversely related. Higher frequency signals complete cycles faster, resulting in shorter periods, making the wave oscillate more rapidly in less time.
Why is the period at 1 kHz exactly 0.001 seconds?
Because 1 kHz equals 1000 Hz, and period = 1 / frequency, substituting gives 1 / 1000 = 0.001 seconds. This precise reciprocal relationship explains why at 1 kHz, each cycle lasts one-thousandth of a second.
Can this conversion be used for frequencies below 1 Hz?
Yes, but the calculation involves very long periods, such as 1 second for 1 Hz, or 60 seconds for 1/60 Hz. The same formula applies, but the resulting periods might be more meaningful in seconds or minutes for very low frequencies.