Complex Number Calculator
Add, subtract, multiply and divide complex numbers in rectangular and polar forms, with phasor angle in degrees, ideal for power systems and AC circuits.
Zakaria El Intissar
Electrical Engineer
Electrical engineer with 12+ years of experience in power systems. I create practical electrical calculators and standards-based technical guides that engineers can apply immediately in their daily work.
LinkedInOverview
AC power systems are almost always analysed in the phasor domain. Voltages, currents and impedances become complex numbers: a real (in-phase) part and an imaginary (90° quadrature) part, or equivalently a magnitude and an angle in degrees.
This calculator supports add, subtract, multiply and divide in both Cartesian (a + jb) and polar forms (M ∠ θ°). It is ideal for verifying relay calculations, symmetrical component hand-checks, and unbalanced fault studies.
Tip: keep the angle convention consistent (always degrees in this tool) and double-check division by zero cases — very small denominators can amplify rounding noise in polar form.
How it works
- 1. Choose op+ − × ÷.
- 2. Enter A and BEach input can be rectangular or polar with angle in degrees.
- 3. Read resultDisplayed in both a + jb and M ∠ θ° simultaneously.
- 4. ChainReuse outputs as new inputs for impedance cascades or sequence networks.
FAQ
Are angles in radians or degrees?+
Everything in AWGtomm2 uses degrees for practical engineering input.
Can I compute impedances here?+
Yes — rectangular works for R + jX and polar works for magnitude and angle in degrees.
What is j?+
The imaginary unit (√-1). Electrical engineering writes j (instead of i) to avoid confusion with current.