Frequency & Period Calculator
Convert between frequency (Hz, kHz, MHz, GHz) and period (s, ms, µs, ns)
Frequency to Period
Period:
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Period to Frequency
Frequency:
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Understanding Frequency and Period
Frequency (f) and Period (T) are inversely related to each other. These two properties are crucial for understanding oscillatory phenomena like waveforms, sound, and signals.
This calculator helps you compute:
- Frequency (f) from Period (T)
- Period (T) from Frequency (f)
Formulas:
1. Frequency to Period:
![\[ T = \frac{1}{f} \]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-6a42077b5c89fa0b0fe154be4b0b721a_l3.png "Rendered by QuickLaTeX.com")
2. Period to Frequency:
![\[ f = \frac{1}{T} \]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-d80275dd62a20365bc39ce61e1d73597_l3.png "Rendered by QuickLaTeX.com")
Example Calculations
Example 1: Frequency to Period
Given:
Frequency = 500 Hz (Hertz)
Calculation:
![\[ T = \frac{1}{500} = 0.002 \text{ s} = 2 \text{ ms} \]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-09be7efd279d721f019f963df6db537a_l3.png "Rendered by QuickLaTeX.com")
Result: Period = 2 ms (Milliseconds)
Example 2: Period to Frequency
Given:
Period = 20 µs (Microseconds)
Calculation:
![\[ f = \frac{1}{20 \times 10^{-6}} = 50,000 \text{ Hz} = 50 \text{ kHz} \]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-6b8d05f4448b3f4bf67bbd875cddb17b_l3.png "Rendered by QuickLaTeX.com")
Result: Frequency = 50 kHz (Kilohertz)
Example 3: Period to Frequency
Given:
Period = 2 fs (Femtoseconds, where 1 fs = 10-15 s)
Calculation:
![\[ f = \frac{1}{2 \times 10^{-15}} = 5 \times 10^{14} \text{ Hz} = 500 \text{ THz} \]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-2d23b9f0f2ec4de135680aa0b3847448_l3.png "Rendered by QuickLaTeX.com")
Result: Frequency = 500 THz (Terahertz)
This is in the range of visible light (red light has a frequency of approximately 430-480 THz).
