AC Phasor Calculator | Rectangular to Polar | Polar to rectangular | Phasor arithmetic operations | Series Parallel impedance calculation

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AC Phasor Calculator

Polar ⇄ Rectangular • Phasor Operations • Series & Parallel Impedance • Phasor Diagram

Work with AC phasors and complex impedances. Convert between rectangular form a + jb and polar form r∠θ, add, subtract, multiply or divide two phasors, and find the equivalent impedance of a series or parallel circuit. Angles can be entered in degrees or radians, and every answer comes with a step-by-step solution and a phasor diagram.

How to use this calculator

1. 1Choose the angle unit — Degrees (default) or Radians. Every angle you type in polar form, and every angle in the answer, uses this unit.
2. 2Select the calculation — Polar ⇄ Rectangular, Phasor Operations or Impedance Combination.
3. 3Enter the values. For each phasor choose Rectangular (a and b) or Polar (r and θ). The converted value appears below the input as you type.
4. 4For Phasor Operations, enter A and B, then pick + − × ÷. For Impedance Combination, choose Series or Parallel and add up to 8 impedances.
5. 5Click Calculate to see the result, the step-by-step solution and the phasor diagram.

1

Angle Unit

Degrees (°)e.g. 30°, −45°, 90° Radians (rad)e.g. 0.5236 (π/6), 1.5708 (π/2), π = 3.1416

2

Select Calculation

3

Enter the Phasor

4

Phasor Diagram

✓ Result

Step-by-step Solution

Note: Rectangular form a + jb: a is the real part, b the imaginary (j) part. Polar form r∠θ: r is the magnitude (never negative) and θ the angle, in the unit selected in step 1, measured anticlockwise from the positive real axis (enter a negative θ for clockwise). 180° = π rad, so radians = degrees × π / 180. Results are given with angles between −180° and 180° (−π and π rad). The angle on the phasor diagram is always labelled in degrees. For impedance, a = R (resistance) and b = X (reactance): +X is inductive, −X is capacitive.