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Engineering function

IMABS

Returns the absolute value, or modulus, of a complex number.

Rarely usedDifficulty 1450 · AdvancedUsage rank #477 of 520
Practice · 2 questions →

When to use it

The absolute value (modulus) of a complex number: the distance from the origin.

The shape of it

Syntax
=IMABS(inumber)

Worked examples

  • Classic

    =IMABS("3+4i") 5

    The 3-4-5 triangle.

  • Another

    =IMABS("5-12i") 13

    Another Pythagorean triple.

  • Unit

    =IMABS("i") 1

    The unit imaginary.

Worth knowing

  • Magnitude of an impedance or a phasor.
  • Same as SQRT(re^2+im^2).
  • Pair with IMARGUMENT for polar form.

Where it goes wrong

  • #VALUE! for invalid complex text.
  • #NUM! for a bad suffix.

Related

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