# Phase Angle Calculator

## About Phase Angle Calculator (Formula)

The Phase Angle Calculator is a mathematical tool used to determine the phase angle between two oscillating waveforms or signals with the same frequency. It aids in signal analysis, electrical engineering, and understanding the phase relationship between different waveforms. The formula for calculating the phase angle involves the time shift between the two signals, given their angular frequency (ω) and time delay (Δt).

Formula for calculating Phase Angle:

Phase Angle (in degrees) = (Δt / T) * 360

In this formula:

• “Δt” represents the time delay or time shift between the two signals in seconds.
• “T” is the time period of one cycle of the waveforms, given by T = 2π / ω, where ω is the angular frequency.

For example, if two signals have a time delay of 0.02 seconds and the frequency of the waveforms is 50 Hz (angular frequency ω = 2π * 50 = 100π rad/s), the phase angle would be calculated as follows:

Phase Angle = (0.02 s / (2π / 100π)) * 360 = (0.02 s / 0.02 s) * 360 = 360 degrees

This means that the phase angle between the two signals is 360 degrees, indicating that they are in-phase or in sync.

The Phase Angle Calculator simplifies the process of determining the phase angle between oscillating waveforms, aiding engineers, scientists, and researchers in analyzing signals and understanding their phase relationships. By inputting the time delay and frequency, the calculator quickly provides the phase angle in degrees, helping users make accurate measurements and interpretations in various applications involving waveforms and signals.