1 microsecond equals 1,000,000 hertz (Hz).
Converting 1 microsecond to hertz involves finding the frequency corresponding to a period of 1 microsecond. Since frequency is the reciprocal of period, 1 microsecond (which is 1 millionth of a second) corresponds to 1 million cycles per second, or 1,000,000 Hz.
Conversion Tool
Result in hz:
Conversion Formula
The formula to convert microseconds (μs) to hertz (Hz) is:
Frequency (Hz) = 1 / (Period in seconds)
Since the input is in microseconds, you first convert microseconds to seconds by multiplying by 10-6. So the formula becomes:
Frequency (Hz) = 1 / (microseconds × 10-6)
This works because frequency is the number of cycles per second, and the period is the duration of one cycle. If a cycle takes a shorter time, the frequency increases.
Example calculation for 1 microsecond:
- Convert 1 μs to seconds: 1 × 10-6 = 0.000001 s
- Calculate frequency: 1 / 0.000001 = 1,000,000 Hz
Conversion Example
-
Convert 5 microseconds to Hz:
- 5 μs = 5 × 10-6 = 0.000005 s
- Frequency = 1 / 0.000005 = 200,000 Hz
-
Convert 0.1 microseconds to Hz:
- 0.1 μs = 0.1 × 10-6 = 0.0000001 s
- Frequency = 1 / 0.0000001 = 10,000,000 Hz
-
Convert 20 microseconds to Hz:
- 20 μs = 20 × 10-6 = 0.00002 s
- Frequency = 1 / 0.00002 = 50,000 Hz
-
Convert 0.5 microseconds to Hz:
- 0.5 μs = 0.5 × 10-6 = 0.0000005 s
- Frequency = 1 / 0.0000005 = 2,000,000 Hz
-
Convert 100 microseconds to Hz:
- 100 μs = 100 × 10-6 = 0.0001 s
- Frequency = 1 / 0.0001 = 10,000 Hz
Conversion Chart
| Microseconds (μs) | Frequency (Hz) |
|---|---|
| -24.0 | -41,666.6667 |
| -23.0 | -43,478.2609 |
| -22.0 | -45,454.5455 |
| -21.0 | -47,619.0476 |
| -20.0 | -50,000.0000 |
| -19.0 | -52,631.5789 |
| -18.0 | -55,555.5556 |
| -17.0 | -58,823.5294 |
| -16.0 | -62,500.0000 |
| -15.0 | -66,666.6667 |
| -14.0 | -71,428.5714 |
| -13.0 | -76,923.0769 |
| -12.0 | -83,333.3333 |
| -11.0 | -90,909.0909 |
| -10.0 | -100,000.0000 |
| -9.0 | -111,111.1111 |
| -8.0 | -125,000.0000 |
| -7.0 | -142,857.1429 |
| -6.0 | -166,666.6667 |
| -5.0 | -200,000.0000 |
| -4.0 | -250,000.0000 |
| -3.0 | -333,333.3333 |
| -2.0 | -500,000.0000 |
| -1.0 | -1,000,000.0000 |
| 0.0 | Infinity |
| 1.0 | 1,000,000.0000 |
| 2.0 | 500,000.0000 |
| 3.0 | 333,333.3333 |
| 4.0 | 250,000.0000 |
| 5.0 | 200,000.0000 |
| 6.0 | 166,666.6667 |
| 7.0 | 142,857.1429 |
| 8.0 | 125,000.0000 |
| 9.0 | 111,111.1111 |
| 10.0 | 100,000.0000 |
| 11.0 | 90,909.0909 |
| 12.0 | 83,333.3333 |
| 13.0 | 76,923.0769 |
| 14.0 | 71,428.5714 |
| 15.0 | 66,666.6667 |
| 16.0 | 62,500.0000 |
| 17.0 | 58,823.5294 |
| 18.0 | 55,555.5556 |
| 19.0 | 52,631.5789 |
| 20.0 | 50,000.0000 |
| 21.0 | 47,619.0476 |
| 22.0 | 45,454.5455 |
| 23.0 | 43,478.2609 |
| 24.0 | 41,666.6667 |
| 25.0 | 40,000.0000 |
| 26.0 | 38,461.5385 |
The chart shows how microseconds convert to frequency in Hz. Positive microseconds produce positive frequencies, while negative values correspond to negative frequencies, which can be used in signal processing contexts. Zero microseconds is undefined, hence the infinite frequency.
Related Conversion Questions
- How many hertz does 1 microsecond correspond to?
- What is the frequency for a 1 μs period in hertz?
- Convert 1 microsecond to frequency units in Hz, please.
- Why does 1 microsecond equal 1 million hertz?
- Is 1 microsecond the same as 1 MHz in frequency?
- How to calculate frequency from a period of 1 microsecond?
- What frequency does a 1 μs pulse represent in hertz?
Conversion Definitions
Microsecond: A microsecond is a unit of time equal to one millionth (10-6) of a second. It measures very short intervals, commonly used in electronics and signal timing where events occur in fractions of a second, allowing precise timing and synchronization.
Hz (Hertz): Hertz is the unit of frequency, representing cycles per second. One hertz means one cycle per second. It quantifies how often a repeating event occurs in a second, widely used in physics, engineering, and audio to describe wave frequencies and oscillations.
Conversion FAQs
Can the frequency be negative when converting microseconds to hertz?
Negative microsecond values yield negative frequency results mathematically, but in practical terms, frequency is non-negative. Negative frequencies appear in signal processing or mathematical contexts to represent phase direction, but physical frequency always positive.
What happens if the input microsecond value is zero?
If the period is zero microseconds, frequency calculation involves division by zero, which is undefined. This means frequency approaches infinity, which is impossible physically, so zero period cannot represent a real frequency.
Can this conversion be used for milliseconds or nanoseconds?
The formula applies only to microseconds if input units are microseconds. For milliseconds or nanoseconds, conversion must first convert those units to seconds correctly, then use frequency = 1 / period in seconds. Different unit scales change the calculation.
Why does frequency increase as microseconds decrease?
Frequency is the inverse of period. A shorter period means more cycles fit per second, making frequency higher. So as microseconds get smaller, the calculated hertz value becomes larger, reflecting faster oscillations or signals.
Is 1 microsecond equivalent to 1 MHz?
Yes, since 1 microsecond period corresponds to 1 divided by 1×10-6 seconds, resulting in 1,000,000 Hz or 1 MHz. These terms describe the same rate but from different measurement perspectives: time period vs frequency.