# 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

\( \theta = \arctan \left(\dfrac{b}{a} \right) \) 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 in Polar Form

Argument or phase in degrees:

Argument or phase in radians:

### More References and links

AC Circuits Calculators and Solvers

Complex Numbers - Basic Operations

Complex Numbers in Exponential Form

Complex Numbers in Polar Form

Convert a Complex Number to Polar and Exponential Forms Calculator