Complex Number Calculator

Add, subtract, multiply, and divide complex numbers

First Complex Number (a + bi)

Second Complex Number (c + di)

Addition

(a + bi) + (c + di) = (a+c) + (b+d)i

Add real and imaginary parts

Subtraction

(a + bi) - (c + di) = (a-c) + (b-d)i

Subtract real and imaginary parts

Multiplication

(a+bi)(c+di) = (ac-bd) + (ad+bc)i

Use FOIL and i² = -1

Division

(a+bi)/(c+di) = multiply by (c-di)/(c-di)

Multiply by conjugate

Electrical Engineering

• AC circuit analysis

• Impedance calculations

• Signal processing

Physics

• Quantum mechanics

• Wave phenomena

• Electromagnetic theory

Mathematics

• Polynomial roots

• Fourier transforms

• Complex analysis