The conversion of 5 kHz to microseconds (us) results in 0.2 microseconds. This is because 1 kHz equals 1 millisecond, so 5 kHz corresponds to 0.2 milliseconds, which is equivalent to 200 microseconds.
To convert kilohertz (kHz) to microseconds (us), you take the reciprocal of the frequency in kilohertz and multiply by 1000. Since frequency in kHz indicates cycles per thousand seconds, its reciprocal gives the duration of one cycle in milliseconds, and multiplying by 1000 converts milliseconds to microseconds.
Conversion Result
5 kHz is equal to 0.2 microseconds (us).
Conversion Tool
Result in us:
Conversion Formula
The formula to convert kilohertz (kHz) to microseconds (us) is: Duration in us = 1000 / frequency in kHz. This works because frequency (in kHz) indicates how many cycles happen per thousand seconds, so taking the reciprocal gives the length of one cycle in milliseconds, then converting to microseconds by multiplying by 1000.
For example, if the frequency is 5 kHz, then duration = 1000 / 5 = 200 ms, which is 200,000 us. But note, since the question is about period, we focus on the reciprocal, which is 1 / (frequency in Hz), and since 1 kHz = 1000 Hz, the period in seconds is 1 / (frequency * 1000). Multiplying by 1,000,000 converts seconds to microseconds.
Conversion Example
- Convert 10 kHz:
- Step 1: Find reciprocal: 1 / 10 kHz = 1 / 10,000 Hz = 0.0001 seconds.
- Step 2: Convert seconds to microseconds: 0.0001 * 1,000,000 = 100 us.
- Convert 2 kHz:
- Step 1: Reciprocal: 1 / 2,000 Hz = 0.0005 seconds.
- Step 2: To microseconds: 0.0005 * 1,000,000 = 500 us.
- Convert 50 kHz:
- Step 1: Reciprocal: 1 / 50,000 Hz = 0.00002 seconds.
- Step 2: To microseconds: 0.00002 * 1,000,000 = 20 us.
Conversion Chart
| kHz | Microseconds (us) |
|---|---|
| -20.0 | -50.0 |
| -10.0 | -100.0 |
| -5.0 | -200.0 |
| 0.0 | ∞ (infinite) |
| 1.0 | 1000.0 |
| 5.0 | 200.0 |
| 10.0 | 100.0 |
| 20.0 | 50.0 |
| 30.0 | 33.33 |
This chart shows the relationship between kHz and microseconds, where decreasing kHz increases the period in microseconds, and vice versa. Use it to quickly estimate conversion values for these ranges.
Related Conversion Questions
- How long is one cycle in microseconds at 5 kHz frequency?
- What is the period in microseconds for a 5 kHz signal?
- How do I convert 5 kHz to microseconds manually?
- What is the duration of a 5 kHz wave in microseconds?
- Can I convert 5 kHz to microseconds using an online calculator?
- What is the period in microseconds for 10 kHz compared to 5 kHz?
- How does changing frequency affect the microsecond period?
Conversion Definitions
khz
Khz (kilohertz) measures frequency, indicating how many cycles per thousand seconds. It is used in electronics and audio to describe how often a wave repeats within a second, with 1 kHz equaling 1000 cycles per second.
us
Us (microseconds) is a time unit representing one millionth of a second. It is used to measure very short durations, such as the period of high-frequency signals, with 1 us equal to 0.000001 seconds.
Conversion FAQs
Why is the period of 5 kHz wave 0.2 us?
Because the period, or duration of one cycle, is the reciprocal of frequency. For 5 kHz, the cycle length is 1 divided by 5000 Hz, which equals 0.0002 seconds or 200 us; however, for the question’s context, focusing on the period in microseconds, it’s 0.2 us.
How accurate is the conversion from kHz to us?
The calculation is precise based on the reciprocal formula; however, real-world signals may vary slightly due to factors like signal distortion or measurement inaccuracies.
Can I convert any frequency from kHz to microseconds with the same formula?
Yes, the same reciprocal formula applies universally: duration in microseconds equals 1000 divided by the frequency in kHz, provided the frequency is positive.
Last Updated : 18 June, 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.