Divide Complex Numbers - Calculator


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An easy to use calculator that divides two complex numbers.

Let w and z be two complex numbers such that w = a + ib and z = A + iB. The division of w by z is based on multiplying numerator and denominator by the complex conjugate of the denominator:

w / z = (a + ib) / (A + iB)

= (a + ib)(A - iB) / (A + iB)(A - iB)

= [ a A + b B + i(b A - a B) ] / [A 2 + B 2]

= ( a A + b B )/ [A 2 + B 2] + i (b A - a B) / [A 2 + B 2]

How to use the calculator

Enter the real and imaginary parts of two complex numbers z and w and press "enter".

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Updated: 22 November 2007 (A Dendane)