Convert 1 kHz to Period
The result of converting 1 kHz to period is 0.001 seconds.
This conversion is based on the relationship between frequency and period, which are inversely proportional. Since 1 kHz equals 1000 cycles per second, the period is the duration of one cycle, calculated as the reciprocal of frequency.
Understanding the Conversion
To find the period from frequency, you divide 1 by the frequency value in hertz. For example, 1 kHz equals 1000 Hz, so the period is 1 divided by 1000, resulting in 0.001 seconds. This means each cycle takes 0.001 seconds to complete.
Conversion Tool
Result in period:
Conversion Formula
The formula to convert kilohertz to period involves taking the reciprocal of the frequency in hertz. Since 1 kHz equals 1000 Hz, the period in seconds equals 1 divided by (frequency in khz times 1000). Mathematically, Period = 1 / (Frequency_kHz * 1000).
This works because frequency and period have an inverse relationship. If the frequency increases, the period decreases proportionally, and vice versa. For example, at 2 kHz, period = 1 / (2 * 1000) = 0.0005 seconds.
Conversion Example
- Convert 2 kHz:
- Frequency = 2 kHz = 2000 Hz
- Period = 1 / 2000 = 0.0005 seconds
- Convert 0.5 kHz:
- Frequency = 0.5 kHz = 500 Hz
- Period = 1 / 500 = 0.002 seconds
- Convert 10 kHz:
- Frequency = 10 kHz = 10,000 Hz
- Period = 1 / 10,000 = 0.0001 seconds
- Convert 0.1 kHz:
- Frequency = 0.1 kHz = 100 Hz
- Period = 1 / 100 = 0.01 seconds
- Convert 5.5 kHz:
- Frequency = 5.5 kHz = 5500 Hz
- Period = 1 / 5500 ≈ 0.00018 seconds
Conversion Chart
| kHz | Period (seconds) |
|---|---|
| -24.0 | ≈ 4,166,667 |
| -23.0 | ≈ 2,941,176 |
| -22.0 | ≈ 1,892,857 |
| -21.0 | ≈ 1,278,677 |
| -20.0 | ≈ 1,000,000 |
| -19.0 | ≈ 794,327 |
| -18.0 | ≈ 625,000 |
| -17.0 | ≈ 471,698 |
| -16.0 | ≈ 390,625 |
| -15.0 | ≈ 333,333 |
| -14.0 | ≈ 285,714 |
| -13.0 | ≈ 243,590 |
| -12.0 | ≈ 208,333 |
| -11.0 | ≈ 181,818 |
| -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 |
| 20.0 | 0.00005 |
| 26.0 | ≈ 0.000038 |
This chart shows how the period decreases as the frequency in kilohertz increases. Use it to quickly find approximate periods for common frequencies.
Related Conversion Questions
- What is the period of 1 kHz signal in milliseconds?
- How do I convert 1 kHz to seconds per cycle?
- What is the formula to find the period of a 1 kHz frequency?
- How long is one cycle at 1 kHz?
- Can I convert 1 kHz to milliseconds directly?
- What is the period of a 1000 Hz wave?
- How does frequency in kHz affect the period of a wave?
Conversion Definitions
khz
Khz stands for kilohertz, which is a unit of frequency equal to 1000 cycles per second. It measures how many oscillations or cycles occur in one second, commonly used in radio, audio, and signal processing fields.
period
Period is the duration of one complete cycle of a wave or oscillation, measured in seconds. It indicates how long it takes for a wave to repeat itself, inversely related to frequency, so higher frequencies mean shorter periods.
Conversion FAQs
What happens to the period if I increase the frequency in khz?
As the frequency in khz increases, the period decreases because they are inversely proportional. For example, doubling the frequency halves the period, making the wave cycle faster.
Why does 1 kHz correspond to 0.001 seconds in period?
This is because 1 kHz equals 1000 Hz, and the period is the reciprocal of the frequency in hertz. So, 1 / 1000 = 0.001 seconds, meaning each wave cycle lasts that long.
Is the period the same in milliseconds and seconds?
Not exactly, but they are related. To convert seconds to milliseconds, multiply by 1000. So, 0.001 seconds equals 1 millisecond, making it easier to interpret in smaller time units.
Can the period be longer than one second at high frequencies?
No, at high frequencies like 10 kHz or more, the period becomes very short, less than a millisecond. Longer periods occur only at very low frequencies, such as in audio or radio signals.
