Complex Number Calculator

Complex numbers are essential for mathematical phenomena that real numbers alone cannot represent: from quadratic equations with complex roots and AC circuit analysis to control systems, signal processing, and Fourier analysis.

This calculator accepts the real and imaginary parts of two complex numbers separately, instantly returning the result of your chosen arithmetic operation. It computes the magnitude (absolute value) and argument (angle) of the result, helping you connect the rectangular a+bi form to the polar representation r∠θ. Conjugate operations are included as quick checks.

What makes this tool powerful is displaying the angle in both radians and degrees, plus showing the polar form r∠θ directly. For AC circuit analysis, you can immediately verify impedance magnitude and phase angle together. For control systems, it helps with Bode plot interpretation and frequency response analysis. Perfect for university exam preparation, engineering fundamentals, and practical applications in circuit design and control theory."