IMABS Google Sheet Formula

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IMABS Formula Syntax

=IMABS("3+4i")

Example Use Case

Calculating the absolute value (modulus) of a complex number

Understanding the IMABS Formula

The IMABS function in Excel calculates the absolute value (modulus) of a complex number. It's a complex number tool for mathematical analysis—like determining the magnitude of a complex quantity regardless of its direction in the complex plane.

IMABS("3+4i") returns 5, the modulus of the complex number 3+4i (calculated as √(3² + 4²)). It takes a complex number as text input and computes its absolute value—useful for engineering calculations, signal processing, or any field requiring complex number analysis.

Why Use IMABS?

IMABS determines complex magnitudes—think electrical engineering or wave calculations. Its ability to find the absolute value of complex expressions makes it valuable for analyzing alternating current circuits, quantum mechanics problems, or signal strength calculations.

Example with Sample Data

Complex Number	Formula	Result
"3+4i"	=IMABS("3+4i")	5
"5-12i"	=IMABS("5-12i")	13
"-2i"	=IMABS("-2i")	2

IMABS finds complex magnitudes: 3+4i has modulus 5, 5-12i has modulus 13. It calculates the distance from the origin in the complex plane. It's a complex absolute value calculator.