100 kHz is equal to 10 microseconds.
Table of Contents
The conversion from kilohertz (kHz) to microseconds involves finding the period of the wave, which is the inverse of frequency. Since 100 kHz means 100,000 cycles per second, the period is the reciprocal of that frequency, converted into microseconds.
Conversion Tool
Result in microseconds:
Conversion Formula
The basic formula to convert frequency in kHz to time period in microseconds is:
Time (μs) = 1 / Frequency (Hz) × 1,000,000
Since frequency in kHz means thousand Hertz, the formula can be rewritten as:
Time (μs) = 1 / (kHz × 1000) × 1,000,000
This means the period is the reciprocal of the frequency in Hertz, converted to microseconds by multiplying by 1,000,000 because 1 second equals 1,000,000 microseconds.
Example calculation for 100 kHz:
- Convert 100 kHz to Hertz: 100 × 1000 = 100,000 Hz
- Calculate the period: 1 / 100,000 = 0.00001 seconds
- Convert seconds to microseconds: 0.00001 × 1,000,000 = 10 μs
Conversion Example
- Convert 50 kHz to microseconds:
- 50 kHz × 1000 = 50,000 Hz
- Period = 1 / 50,000 = 0.00002 seconds
- Convert to microseconds: 0.00002 × 1,000,000 = 20 μs
- Convert 200 kHz to microseconds:
- 200 kHz × 1000 = 200,000 Hz
- Period = 1 / 200,000 = 0.000005 seconds
- Convert to microseconds: 0.000005 × 1,000,000 = 5 μs
- Convert 80 kHz to microseconds:
- 80 kHz × 1000 = 80,000 Hz
- Period = 1 / 80,000 = 0.0000125 seconds
- Convert to microseconds: 0.0000125 × 1,000,000 = 12.5 μs
- Convert 125 kHz to microseconds:
- 125 kHz × 1000 = 125,000 Hz
- Period = 1 / 125,000 = 0.000008 seconds
- Convert to microseconds: 0.000008 × 1,000,000 = 8 μs
Conversion Chart
The table below shows frequencies from 75.0 kHz to 125.0 kHz converted into microseconds. You can read the chart by finding the frequency in the left column and its corresponding period in microseconds in the right column.
| Frequency (kHz) | 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 |
Related Conversion Questions
- How many microseconds correspond to 100 kHz frequency?
- What is the time period in microseconds for a 100 kHz signal?
- How do you calculate microseconds from 100 kHz?
- What formula converts 100 kHz frequency into microseconds?
- Can you convert 100 kHz to microseconds directly?
- Why is 100 kHz equal to 10 microseconds in period?
- What is the period length in microseconds for 100 kHz?
Conversion Definitions
kHz: Kilohertz (kHz) is a unit of frequency equal to one thousand cycles per second. It measures how many times a periodic event repeats every second, commonly used in radio frequencies, sound waves, and electronic signals to describe speed or frequency of oscillation.
Microseconds: A microsecond (μs) is a unit of time equal to one millionth (10^-6) of a second. It measures very short durations often used in electronics and signal processing to describe time intervals, pulse widths, or periods of high-frequency signals.
Conversion FAQs
Is converting kHz to microseconds the same as finding the period?
Yes, converting frequency in kilohertz to microseconds involves finding the period of the wave, which is the inverse of the frequency. The period represents how long one cycle takes, measured in microseconds when frequency is given in kHz.
Why do we multiply by 1,000,000 during conversion?
Multiplying by 1,000,000 converts seconds into microseconds. Since frequency’s inverse gives period in seconds, and microseconds are much smaller units, this step scales the value to the correct time unit.
Can this conversion be applied to any frequency value?
The formula applies to any frequency value given in kHz, but when frequencies are very low or high, practical measurement limitations or device precision might affect accuracy.
What happens if the input frequency is zero or negative?
A frequency of zero or negative does not represent a valid physical frequency. The formula would cause division by zero or give meaningless results, so input should be positive and non-zero.
How precise is the conversion result?
The precision depends on how many decimal places you keep. The calculator rounds to four decimals here, which is usually enough for many applications, but higher precision can be used if needed by adjusting rounding.