The conversion of 5 kHz to microseconds (us) results in 200 us.
This is because 1 kHz equals 1 millisecond divided by 1,000, which is 1,000 microseconds. Therefore, to find the period in microseconds for 5 kHz, you take the reciprocal of the frequency in kHz and multiply by 1,000. So, 1 / 5 kHz = 0.0002 seconds, which equals 200 microseconds.
Frequency to Time Conversion
Result in us:
Conversion Formula
The formula to convert kilohertz (kHz) to microseconds (us) is: Time (us) = 1000 / Frequency (kHz). This works because frequency in kHz is cycles per millisecond, so taking the reciprocal gives seconds per cycle, then multiplied by 1000 converts to microseconds. For example, at 5 kHz, the period is 1/5 * 1000 = 200 us.
Conversion Example
- Example 1: Convert 10 kHz to us.
- Step 1: Apply formula: 1000 / 10 = 100 us.
- Step 2: The period of a 10 kHz signal is 100 microseconds.
- Example 2: Convert 2 kHz to us.
- Step 1: 1000 / 2 = 500 us.
- Step 2: The cycle duration of 2 kHz is 500 microseconds.
- Example 3: Convert 0.5 kHz to us.
- Step 1: 1000 / 0.5 = 2000 us.
- Step 2: The period for 0.5 kHz is 2000 microseconds.
- Example 4: Convert 20 kHz to us.
- Step 1: 1000 / 20 = 50 us.
- Step 2: The cycle duration at 20 kHz is 50 microseconds.
Conversion Chart
| Frequency (kHz) | Period (us) |
|---|---|
| -20.0 | -50.0 |
| -15.0 | -66.6667 |
| -10.0 | -100.0 |
| -5.0 | -200.0 |
| 0.0 | Infinity |
| 1.0 | 1000.0 |
| 5.0 | 200.0 |
| 10.0 | 100.0 |
| 15.0 | 66.6667 |
| 20.0 | 50.0 |
| 25.0 | 40.0 |
| 30.0 | 33.3333 |
Use this chart to quickly find the period in microseconds for various frequencies. Negative frequencies are theoretical and not used practically, but they demonstrate the inverse relation.
Related Conversion Questions
- How many microseconds is 5 kHz frequency in a signal?
- What is the period in microseconds for a 5 kilohertz wave?
- Convert 5 kHz to microseconds per cycle?
- How do I find the cycle duration in microseconds when given 5 kHz?
- What is the time duration of one cycle at 5 kHz in microseconds?
- Can you tell me the period in microseconds for a 5 kHz frequency?
- How to calculate the microsecond period of a 5 kilohertz signal?
Conversion Definitions
khz
Khz, or kilohertz, measures the frequency of a signal, representing thousands of cycles per second. It indicates how many times a wave repeats in one second, used in electronics, radio, and communications to describe signal speed.
us
Us, or microseconds, measures time equal to one millionth of a second. It is used to specify very short durations like the period of high-frequency signals, pulse widths, and response times in electronic and communication systems.
Conversion FAQs
How does increasing the frequency affect the period in microseconds?
As the frequency in kHz increases, the period in microseconds decreases because they are inversely related. Higher frequency signals have shorter cycles, thus the period becomes smaller in microseconds, indicating faster oscillations.
Why is the period in microseconds inversely proportional to the frequency?
This relationship exists because frequency measures how many cycles occur in a second, so to find the duration of each cycle, you take the reciprocal. Multiplying by 1000 converts seconds to microseconds, making the formula straightforward.
Can I convert any frequency in kHz to microseconds using this formula?
Yes, the formula works for any positive value of frequency in kHz. If you input zero or negative values, the calculation is invalid or nonsensical in real-world scenarios, but mathematically, the relation holds as an inverse.
What happens if I input a very high frequency like 1000 kHz?
At 1000 kHz, the period in microseconds is 1/1000 * 1000 = 1 us, meaning each cycle lasts just one microsecond. This demonstrates how high frequencies correspond to extremely short cycle durations.
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