# Complex to Polar Impedance Converter

  

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 $Z$ = 80.45   $j$ -36.44

## Impedance in Polar Form

Argument or phase in degrees: