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IMSUM

Returns the sum of a series of complex numbers.

EngineeringIMSUM(value1, [value2, ...])

The IMSUM function in Google Sheets is a powerful tool to calculate the sum of a series of complex numbers. Whether you're working with complex data in science, engineering, or mathematics, the IMSUM function simplifies the task. Dive into our comprehensive guide to master its application.

Parameters

  • value1: The first complex number or range to consider for the sum.
  • value2, ...: [Optional] Additional complex numbers or ranges to consider.

Step-by-Step Tutorial

  1. Using IMSUM with individual complex numbers:

    • Example: =IMSUM("4+3i", "2-5i")
    • Result: 6-2i
  2. Using IMSUM with a range of cells:

    • Example: If A1:A5 has the complex numbers "2+3i", "1-2i", "3-4i", "5+6i", "7-8i", then =IMSUM(A1:A5) will return 18-5i.

Working with a Single Value, a List, and a Range

IMSUM accepts complex numbers one at a time, as a comma-separated list, or as a range — mix and match freely.

  • Single value: =IMSUM(A1) — just returns the complex number in A1.
  • List of values: =IMSUM(A1, A2, A3) — adds each cell individually. If A1, A2, and A3 are 2+3i, 1-2i, and 4+0i, the result is 7+1i.
  • Range: =IMSUM(A1:A3) — adds every complex number in the range.
  • Mixed: =IMSUM(A1, A3:A5) — you can combine single cells and ranges in one call.

Use Cases and Scenarios

  1. Electrical Engineering: Calculate the total impedance of a series circuit.
  2. Signal Processing: Sum the amplitudes of complex sinusoidal signals.
  3. Quantum Mechanics: Compute the sum of complex wavefunctions.

Related Functions

  • IMPRODUCT: Multiply a series of complex numbers.
  • IMDIV: Divide one complex number by another.

Related Articles

None available for IMSUM function yet.

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