1. What is the Time-Frequency Relationship?

The fundamental relationship between frequency and period is given by the equation \( f = \frac{1}{T} \), where \( f \) is frequency in Hertz (Hz) and \( T \) is period in seconds (s). This relationship is essential in physics, engineering, and signal processing.

2. How Does the Calculator Work?

The calculator uses the basic time-frequency equation:

Where:

• \( f \) — Frequency in Hertz (Hz)
• \( T \) — Period in seconds (s)

Explanation: The calculator automatically computes the missing value when you provide either frequency or period. Enter one value, and the other will be calculated.

3. Practical Applications

Details: This calculation is used in electronics (for AC circuits and signal processing), acoustics (sound waves), radio communications, and many other fields where periodic phenomena are studied.

4. Using the Calculator

Tips: Enter either frequency or period (not both) and click calculate. The calculator will compute the missing value. Values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between frequency and period?
A: Frequency measures how often something happens per second, while period measures the time between occurrences. They are inversely related.

Q2: What are typical frequency ranges?
A: Human hearing: 20Hz-20kHz, Mains electricity: 50/60Hz, Radio: kHz-GHz, Light: hundreds of THz.

Q3: Can I calculate angular frequency with this?
A: No, angular frequency (ω) is related but different: ω = 2πf = 2π/T. This calculator deals with regular frequency.

Q4: What if I enter both values?
A: The calculator will verify they satisfy f = 1/T. If not, it will prioritize the frequency value and recalculate period.

Q5: How precise are the calculations?
A: Calculations are performed with floating-point precision and displayed with 6 decimal places.