Arg(z) fase
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Arg(z) phase Calculator is an online tool that calculates the argument or phase angle of a complex number z. The argument of a complex number is the angle it forms with the positive real axis in the complex plane. It is calculated using the formula: Arg(z) = atan2(Im, Re), where Im is the imaginary part and Re is the real part of the complex number.
The atan2(Im, Re) formula is a variation of the arctangent function that takes into account the sign of the real and imaginary parts to determine the correct angle in the complex plane. This is important because the common arctangent is not able to distinguish between angles that differ by π (180 degrees).
This calculator is useful in various fields, such as electrical engineering, physics, and signal processing, where it is common to work with complex numbers and need to calculate their argument. For example, in electrical circuits, the argument of the impedance can indicate whether the circuit is more capacitive or inductive.
When using this calculator, it is essential to remember that the result is expressed in radians and can range from -π to π. It is also crucial to ensure that the real and imaginary parts are entered correctly to obtain an accurate result.
Frequently asked questions
What is the argument of a complex number?
The argument of a complex number is the angle it forms with the positive real axis in the complex plane.
Why does the calculator use atan2 and not arctangent?
The atan2 function is used to take into account the sign of the real and imaginary parts and determine the correct angle in the complex plane.
In what units is the result expressed?
The result is expressed in radians.
What are the precautions when using this calculator?
It is essential to ensure that the real and imaginary parts are entered correctly to obtain an accurate result.