The conversion of 100 kHz to microseconds results in 10 microseconds.
Frequency in kilohertz (kHz) measures how many thousands of cycles occur per second, while microseconds represent a time interval. Converting 100 kHz to microseconds gives the duration of one cycle at that frequency, which is the inverse of frequency expressed in microseconds.
Conversion Tool
Result in microseconds:
Conversion Formula
To convert frequency in kilohertz (kHz) into microseconds, the formula is:
Time (μs) = 1000 / Frequency (kHz)
This works because frequency is the number of cycles per second, so the period is the reciprocal of frequency. Since frequency is in thousands of cycles per second, dividing 1000 by that frequency gives the period in microseconds.
For example, at 100 kHz:
- Frequency = 100 kHz
- Calculate period: 1000 ÷ 100 = 10 μs
- This means each cycle lasts 10 microseconds
Conversion Example
- Convert 50 kHz to microseconds:
- Frequency = 50 kHz
- Period = 1000 ÷ 50 = 20 μs
- Each cycle takes 20 microseconds
- Convert 200 kHz to microseconds:
- Frequency = 200 kHz
- Period = 1000 ÷ 200 = 5 μs
- Each cycle lasts 5 microseconds
- Convert 75 kHz to microseconds:
- Frequency = 75 kHz
- Period = 1000 ÷ 75 ≈ 13.333 μs
- Each cycle takes about 13.333 microseconds
- Convert 120 kHz to microseconds:
- Frequency = 120 kHz
- Period = 1000 ÷ 120 ≈ 8.333 μs
- Each cycle lasts roughly 8.333 microseconds
Conversion Chart
| Frequency (kHz) | Period (microseconds) |
|---|---|
| 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 |
The chart shows how frequency values between 75.0 kHz and 125.0 kHz correspond to their microseconds period. You can find the microseconds by looking at the frequency you have and then reading the matching period value to know the cycle time duration.
Related Conversion Questions
- How long is one cycle at 100 kHz in microseconds?
- What is the time period for 100 kHz frequency expressed in microseconds?
- How do you calculate microseconds from 100 kHz?
- Can 100 kHz frequency be converted directly to microseconds?
- Why does 100 kHz equal 10 microseconds per cycle?
- What formula is used to change 100 kHz into microseconds?
- How to find the duration of one wave at 100 kHz in microseconds?
Conversion Definitions
kHz: Kilohertz is a unit measuring frequency, representing one thousand cycles per second. It is used to quantify signals, waves, or oscillations in many fields, including electronics, radio communications, and audio processing. Frequencies in kHz help describe how fast something repeats.
Microseconds: A microsecond is a unit of time equal to one millionth of a second (1×10⁻⁶ seconds). It is commonly used in electronics and timing measurements for very short time intervals, such as clock cycles, signal durations, or pulse widths, indicating extremely brief time spans.
Conversion FAQs
Why does dividing 1000 by kHz gives microseconds?
Because frequency in kHz means thousands of cycles per second, taking the reciprocal gives the duration of one cycle in seconds. Multiplying by 1,000,000 converts seconds to microseconds, but since kHz already accounts for thousands, dividing 1000 by the frequency directly gives the period in microseconds.
Can this conversion be applied to frequencies above 100 kHz?
Yes, the formula works for any frequency in kHz. As frequency increases, the period in microseconds decreases accordingly. The relationship between frequency and period is inverse, so higher frequency means shorter cycle time.
What happens when frequency is zero or negative?
Frequency cannot be zero or negative in practical terms because it represents cycles per second. A zero frequency means no cycles, so conversion to time period is undefined. Negative frequencies have no physical meaning in this context and the formula will not produce valid results.
Is the result always exact when converting kHz to microseconds?
The calculation is precise mathematically but practical measurements may vary due to signal distortions or equipment limitations. The formula gives the ideal period length, but real-world factors might cause slight deviations.
How does this conversion relate to signal wavelength?
The period in microseconds is the time for one cycle, which relates to wavelength when multiplied by signal speed (like speed of light for radio waves). Knowing the period helps calculate wavelength, but conversion alone only gives time duration per cycle, not distance.