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Phase Angle Formula:
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The phase angle (φ) represents the angular displacement of a periodic waveform at a specific time relative to its starting point. It is commonly used in physics, engineering, and signal processing to describe the position of waves, oscillations, and rotating systems.
The calculator uses the phase angle formula:
Where:
Explanation: The formula calculates what fraction of a complete cycle has elapsed and converts it to degrees, where 360 degrees represents one full cycle.
Details: Phase angle calculations are essential for analyzing wave interference, designing electronic circuits, understanding mechanical vibrations, and synchronizing rotating machinery. They help determine the relative timing between different periodic signals.
Tips: Enter time in seconds, period in seconds. Both values must be positive, and period must be greater than zero. The calculator will compute the phase angle in degrees.
Q1: What is the range of phase angle values?
A: Phase angle typically ranges from 0° to 360°, representing one complete cycle. Values beyond 360° indicate multiple complete cycles.
Q2: Can phase angle be negative?
A: In this calculation, phase angle is always positive since time and period are positive values. However, in some contexts, negative phase angles represent phase lag.
Q3: What's the difference between degrees and radians?
A: Degrees use 360° per cycle, while radians use 2π radians per cycle. The formula in radians would be φ = 2π × (t/T).
Q4: When is phase angle used in real applications?
A: Used in AC circuit analysis, audio signal processing, mechanical vibration analysis, and astronomy for planetary positions.
Q5: What if the time exceeds the period?
A: The calculator will give values greater than 360°, indicating the waveform has completed more than one full cycle.