100 kHz equals 10 microseconds. This means that a frequency of 100 kilohertz corresponds to a time period of 10 microseconds per cycle.
Frequency in kilohertz (kHz) measures how many thousands of cycles happen each second, while microseconds measure the duration of each cycle. To convert from frequency to time period, you take the reciprocal and adjust the units accordingly.
Conversion Tool
Result in microseconds:
Conversion Formula
The formula to convert kilohertz (kHz) to microseconds (µs) is:
Time period (µs) = 1000 / Frequency (kHz)
This formula works because frequency is the number of cycles per second, measured in thousands for kHz. The time period is the duration of one cycle, which is the reciprocal of frequency. Since frequency is in thousands per second, dividing 1000 by that frequency gives the time in microseconds.
Example:
- Frequency = 100 kHz
- Time period = 1000 / 100 = 10 µs
Conversion Example
- Frequency: 80 kHz
- Step 1: Calculate time period = 1000 / 80 = 12.5 µs
- Step 2: Result means one cycle lasts 12.5 microseconds
- Frequency: 120 kHz
- Step 1: Time period = 1000 / 120 ≈ 8.3333 µs
- Step 2: One cycle duration is about 8.33 microseconds
- Frequency: 90 kHz
- Step 1: Time period = 1000 / 90 ≈ 11.1111 µs
- Step 2: Each cycle takes around 11.11 microseconds
Conversion Chart
| Frequency (kHz) | Time Period (µs) |
|---|---|
| 75.0 | 13.3333 |
| 80.0 | 12.5000 |
| 85.0 | 11.7647 |
| 90.0 | 11.1111 |
| 95.0 | 10.5263 |
| 100.0 | 10.0000 |
| 105.0 | 9.5238 |
| 110.0 | 9.0909 |
| 115.0 | 8.6957 |
| 120.0 | 8.3333 |
| 125.0 | 8.0000 |
This chart shows the time period in microseconds for each frequency value between 75.0 kHz and 125.0 kHz. To find the time period for any frequency in this range, locate the frequency in the left column, then read across to see the corresponding time in microseconds.
Related Conversion Questions
- How many microseconds is one cycle at 100 kHz frequency?
- What is the formula to convert 100 kHz into microseconds?
- Why does 100 kHz correspond to 10 microseconds per cycle?
- How do I calculate time period from 100 kHz frequency?
- Is 10 microseconds correct for frequency 100 kHz?
- What does a period of 10 microseconds mean at 100 kHz?
- How to convert 100 kHz into time duration in microseconds?
Conversion Definitions
kHz (kilohertz): Kilohertz is a unit of frequency equal to 1000 cycles per second. It measures how many thousands oscillations or cycles occur every second. Often used in radio frequencies, audio signals, and electronics to represent signal speed or wave repetition rate.
Microseconds (µs): Microseconds are units of time equal to one millionth (10⁻⁶) of a second. It measures extremely short durations, often used to express time intervals in electronics, signal processing, and communications where events happen very fast.
Conversion FAQs
Can frequency in kHz be directly converted to seconds?
Yes, frequency in kilohertz represents cycles per thousand seconds. To get time in seconds for one cycle, you take the reciprocal of the frequency and adjust units properly. For example, 100 kHz equals 10 microseconds, which is 0.00001 seconds per cycle.
Why do we multiply by 1000 in the formula?
The frequency is given in kilohertz, which means thousands of cycles per second. Since microseconds are one-millionth of a second, multiplying the reciprocal by 1000 converts seconds to microseconds, matching the units correctly.
Is the conversion accurate for all frequencies in kHz?
The formula works for any frequency value expressed in kHz. The accuracy depends on the precision of the input and rounding in calculations, but mathematically the conversion is exact assuming ideal conditions.
What happens if frequency value is zero or negative?
Frequency cannot be zero or negative in this context, because it would mean no cycles or impossible oscillations. The conversion is undefined for zero or negative values, and the tool will not produce valid results for such inputs.
How is this conversion used in practical electronics?
Converting frequency to time period helps engineers design circuits that depend on timing, such as oscillators, timers, and communication systems. Knowing the period in microseconds allows better control and synchronization of electronic signals.