Complex to Polar Impedance Converter

Table of Contents

A calculator to convert impedance from complex to polar form is presented.
A complex impedance of the from \( Z = a + j b \) has a modulus given by \[ |Z| = \sqrt{a^2 + b^2} \] and a phase \[ \theta = \arctan \left(\dfrac{b}{a} \right) \; \text{such that} \; -\pi \lt \theta \le \pi \] The complex impedance in polar form is written as \[ Z = |Z| \; \angle \; \theta \] where \( \theta \) is in degrees or radians.

Use of the calculator

Enter impedances \( Z \) as a complex number of the form \( a + j b \) and press "calculate".
The output is the impedance in polar form with phase in degress and radians.


Impedance \( Z \) =   \( j \)

Impedance in Polar Form

Argument or phase in degrees:

Argument or phase in radians:

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