1. What is Phasor Angle?

The phasor angle (θ) represents the phase difference between the real and imaginary components of a complex number in polar form. It is a fundamental concept in electrical engineering, signal processing, and physics.

2. How Does the Calculator Work?

The calculator uses the phasor angle formula:

Where:

• \( Im \) — Imaginary component of the complex number
• \( Re \) — Real component of the complex number

Explanation: The arctangent function calculates the angle whose tangent is the ratio of the imaginary part to the real part, giving the phase angle in radians which is then converted to degrees.

3. Importance of Phasor Angle Calculation

Details: Phasor angle calculation is essential for analyzing AC circuits, signal processing, and understanding the phase relationships in complex systems. It helps determine the phase shift between voltage and current in electrical systems.

4. Using the Calculator

Tips: Enter both real and imaginary components as numerical values. The real component cannot be zero as it would make the calculation undefined.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of phasor angle values?
A: The phasor angle typically ranges from -180° to +180° (or 0° to 360° depending on the coordinate system).

Q2: How is the phasor angle used in electrical engineering?
A: It's used to analyze phase differences in AC circuits, impedance calculations, and power factor analysis.

Q3: What happens when both real and imaginary components are zero?
A: The phasor angle is undefined at the origin (0,0) as there is no meaningful direction.

Q4: Can the calculator handle negative values?
A: Yes, both positive and negative values are accepted for both real and imaginary components.

Q5: What's the difference between atan and atan2?
A: atan2 is used in this implementation as it properly handles all four quadrants and avoids division by zero issues.