The frequency 20 Hz corresponds to a period of 50,000 microseconds.
This conversion is done by finding the time period of one cycle at 20 hertz, which is the inverse of frequency, then converting that time from seconds to microseconds.
Conversion Tool
Result in microseconds:
Conversion Formula
The formula to convert frequency (Hz) to microseconds is:
Period (μs) = (1 / Frequency (Hz)) × 1,000,000
This works because frequency is the number of cycles per second, so the period is the inverse, the duration of one cycle in seconds. Multiplying by one million converts seconds to microseconds.
For example, at 20 Hz:
- Calculate reciprocal: 1 ÷ 20 = 0.05 seconds
- Convert seconds to microseconds: 0.05 × 1,000,000 = 50,000 μs
Conversion Example
- Frequency: 5 Hz
- 1 ÷ 5 = 0.2 seconds
- 0.2 × 1,000,000 = 200,000 microseconds
- Frequency: 50 Hz
- 1 ÷ 50 = 0.02 seconds
- 0.02 × 1,000,000 = 20,000 microseconds
- Frequency: 100 Hz
- 1 ÷ 100 = 0.01 seconds
- 0.01 × 1,000,000 = 10,000 microseconds
- Frequency: 0.5 Hz
- 1 ÷ 0.5 = 2 seconds
- 2 × 1,000,000 = 2,000,000 microseconds
Conversion Chart
| Frequency (Hz) | Period (μs) |
|---|---|
| -5.0 | Invalid (Frequency cannot be negative) |
| -4.0 | Invalid (Frequency cannot be negative) |
| -3.0 | Invalid (Frequency cannot be negative) |
| -2.0 | Invalid (Frequency cannot be negative) |
| -1.0 | Invalid (Frequency cannot be negative) |
| 0.0 | Undefined (Frequency zero means infinite period) |
| 5.0 | 200,000 |
| 10.0 | 100,000 |
| 15.0 | 66,666.67 |
| 20.0 | 50,000 |
| 25.0 | 40,000 |
| 30.0 | 33,333.33 |
| 35.0 | 28,571.43 |
| 40.0 | 25,000 |
| 45.0 | 22,222.22 |
The chart shows how many microseconds one cycle lasts for each frequency. Negative values don’t have a valid period because frequency can’t be negative, and zero frequency means no cycles, so the period is undefined or infinite.
Related Conversion Questions
- How many microseconds correspond to a frequency of 20 Hz?
- What is the time period in microseconds of a 20 Hz signal?
- Can you convert 20 hertz to microseconds?
- How to calculate microseconds from 20 Hz frequency?
- What does 20 Hz equal in microseconds?
- Why is the time period for 20 Hz expressed in microseconds?
- Is 50,000 microseconds the correct period for 20 Hz?
Conversion Definitions
Hz (Hertz): Hertz is the unit of frequency, measuring how many cycles or events occur per second. It represents the number of times something repeats in one second. For example, 20 Hz means 20 cycles happen every second.
Microseconds: A microsecond is a unit of time equal to one millionth of a second, or 10^-6 seconds. It measures very short durations, commonly used in electronics, signal timing, and other precise time measurements.
Conversion FAQs
Can frequency values be negative when converting to microseconds?
Frequency represents cycles per second and must be zero or positive. Negative frequencies are not physically meaningful, so the conversion to microseconds is invalid for negative values.
What happens if I input zero hertz in the conversion?
Zero hertz means no cycles per second, causing the period to be infinite or undefined. Dividing 1 by zero is mathematically invalid, so the conversion cannot produce a finite microsecond value.
Why multiply by 1,000,000 in the formula?
Since the period calculated by 1 divided by frequency is in seconds, multiplying by 1,000,000 converts seconds into microseconds, which is a smaller unit more convenient for precise time intervals.
Can this conversion be used for audio frequencies?
Yes, audio frequencies measured in hertz can be converted to periods in microseconds. It helps in understanding timing between sound waves, but practical audio processing might use other units depending on context.
Is the conversion exact for any frequency value?
The formula gives an exact mathematical result, but real-world measurements may vary due to device precision, rounding, or signal noise. The conversion assumes ideal conditions without distortion.
Last Updated : 20 July, 2025
I’ve put so much effort writing this blog post to provide value to you. It’ll be very helpful for me, if you consider sharing it on social media or with your friends/family. SHARING IS ♥️
Sandeep Bhandari holds a Bachelor of Engineering in Computers from Thapar University (2006). He has 20 years of experience in the technology field. He has a keen interest in various technical fields, including database systems, computer networks, and programming. You can read more about him on his bio page.