5 kHz converts to 200 microseconds (us).
This conversion is based on the fact that frequency (kHz) and period (us) are inversely related. Since 1 kHz corresponds to a period of 1 millisecond (1000 us), multiplying 5 kHz by 1000 gives the frequency in Hz. Then, dividing 1,000,000 us by that frequency gives the period in microseconds. So, for 5 kHz: 1,000,000 us / 5,000 Hz = 200 us.
Conversion of 5 kHz to us
Result in us:
Conversion Formula
The conversion from kilohertz to microseconds uses the formula: period (us) = 1,000,000 / (frequency in Hz). Since 1 kHz equals 1,000 Hz, multiplying kHz by 1,000 gives Hz. Dividing 1,000,000 by that Hz value yields the period in microseconds. For example, 5 kHz: 1,000,000 / (5 * 1000) = 200 us.
Conversion Example
- Convert 10 kHz:
- Step 1: 10 kHz * 1000 = 10,000 Hz.
- Step 2: 1,000,000 / 10,000 = 100 us.
- Convert 2.5 kHz:
- Step 1: 2.5 kHz * 1000 = 2,500 Hz.
- Step 2: 1,000,000 / 2,500 = 400 us.
- Convert 20 kHz:
- Step 1: 20 kHz * 1000 = 20,000 Hz.
- Step 2: 1,000,000 / 20,000 = 50 us.
Conversion Chart
| kHz | Microseconds (us) |
|---|---|
| -20.0 | 50.00 |
| -15.0 | 66.67 |
| -10.0 | 100.00 |
| -5.0 | 200.00 |
| 0.0 | 1,000.00 |
| 5.0 | 200.00 |
| 10.0 | 100.00 |
| 15.0 | 66.67 |
| 20.0 | 50.00 |
| 25.0 | 40.00 |
| 30.0 | 33.33 |
This chart helps to quickly see how different frequencies in kHz relate to their periods in microseconds. Simply find the frequency in the first column, then read across to see the period.
Related Conversion Questions
- What is the period in microseconds for 5 kHz signals?
- How many microseconds is a 5 kilohertz frequency?
- Convert 5 kHz to its equivalent time in microseconds.
- How do I calculate the period in microseconds for a 5 kHz frequency?
- What is the length of one cycle in microseconds at 5 kHz?
- What microsecond duration corresponds to a 5 kHz wave?
- How long does one cycle last in microseconds for 5 kHz?
Conversion Definitions
kHz: Kilohertz (kHz) is a unit of frequency equal to 1,000 cycles per second, used to measure how often a periodic event occurs within a second.
us: Microseconds (us) are units of time equal to one-millionth of a second, used to measure very short durations such as the period of high-frequency signals.
Conversion FAQs
How does increasing kHz affect the period in microseconds?
As the kHz value increases, the period in microseconds decreases because frequency and period are inversely proportional. Higher frequency means a shorter time for one cycle.
Can I convert any kHz value to microseconds using this method?
Yes, this method applies to any frequency in kHz. The formula 1,000,000 divided by (kHz times 1,000) gives the period in microseconds for all frequencies.
Is this conversion precise for very high frequencies?
This calculation is accurate for ideal signals. For extremely high frequencies, factors like signal quality or measurement limitations might slightly affect the period measurement.
Why is the period in microseconds important?
The period determines the duration of a single cycle of a wave, which is crucial in designing electronic circuits, signal processing, and understanding timing in communication systems.
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