Engineering - IMABS Function

Description

The IMABS function returns the absolute value (modulus) of a complex number in x + yi or x + yj text format.

Complex Numbers in Excel

• Complex numbers are simply stored as text in Excel.

• When a text string in the format "a+bi" or "a+bj" is supplied to one of Excel's built-in complex number functions, this is interpreted as a complex number.

• The complex number functions can accept simple numeric values, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.

Modulus of a Complex Number

• The absolute value (the modulus) of a complex number is calculated as the square root of the sum of the squares of the real and imaginary coefficients, i.e. the modulus of the complex number, z = a + bi is −

  $$\left | z \right |=\sqrt{a^2 + b^2}$$

Syntax

IMABS (inumber)

Arguments

Notes

• Use COMPLEX to convert real and imaginary coefficients into a complex number.

• If Inumber is not recognized as a complex number, the function IMABS returns a #NUM! error.

• If Inumber is a logical value, the function IMABS returns a #VALUE! Error.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example