Period from Frequency
T = 1 / f
Quick answer
This calculator solves T = 1 / f for Period. With Frequency 1 kHz, the result is 1 ms. It solves in 2 directions, so you can enter the values you have and get the one you need.
Calculator
Formula
Description
The period of a periodic signal is the time for one complete cycle, the reciprocal of its frequency. It is the most basic timing relationship in electronics, converting between how often something happens (frequency) and how long each cycle takes (period). Oscilloscopes measure period directly; converting gives frequency and vice versa.
Variables
- T — Period of one cycle (s)
- f — Frequency (Hz)
Practical Notes
1 kHz corresponds to 1 ms; 1 MHz to 1 µs. The period sets timing budgets for clocks, PWM, and sampling.
Symbols and units
| Symbol | Meaning | Default unit | Accepted units |
|---|---|---|---|
| T | Period | ms | ps, ns, µs, ms, s, min, h |
| f | Frequency | Hz | Hz, kHz, MHz, GHz |
Step by step
- 1. What you know: Frequency 1 kHz
- 2. The relation: T = 1 / f
- 3. Substitute: f = 1 kHz
- 4. Result: Period = 1 ms
Worked examples
Minimum range
Given: Frequency 5 Hz
Result: Period = 0.2 s
Low range
Given: Frequency 50 Hz
Result: Period = 20 ms
Typical
Given: Frequency 1 kHz
Result: Period = 1 ms
High range
Given: Frequency 20 kHz
Result: Period = 50 µs
Maximum range
Given: Frequency 0.2 MHz
Result: Period = 5 µs
Solving for each variable
Solve for Period
Frequency 5 Hz → 0.2 s
Solve for Frequency
Period 100 µs → 10 kHz
How Period changes with Frequency
| Frequency (input) | Period (result) |
|---|---|
| 100 Hz | 10 ms |
| 0.25 kHz | 4 ms |
| 0.5 kHz | 2 ms |
| 0.75 kHz | 1.333 ms |
| 1 kHz | 1 ms |
| 1.5 kHz | 0.6667 ms |
| 2 kHz | 0.5 ms |
| 4 kHz | 0.25 ms |
| 7 kHz | 142.9 µs |
| 10 kHz | 100 µs |
The same result in other units
| Unit | Value |
|---|---|
| ns | 1000000 |
| µs | 1000 |
| ms | 1 |
| s | 0.001 |
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<p><a href="https://vbatpower.com/formulas/period-from-frequency/">Period from Frequency</a> Calculator by vbatpower.com</p>Frequently asked questions
How do you calculate Period from Frequency?
Use T = 1 / f. With Frequency 1 kHz, Period works out to 1 ms.
What is the formula for Period from Frequency?
The formula is T = 1 / f. The period of a periodic signal is the time for one complete cycle, the reciprocal of its frequency.
How do you find Frequency when you know the other values?
Rearrange for Frequency: with Period 100 µs, Frequency is 10 kHz.
What units does Period from Frequency use?
Period is shown in ns, µs, ms, s. Values are held in SI base units internally, so you can mix prefixes without converting by hand.
Related Concepts
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