Excel COMPLEX Function

What is COMPLEX function in Excel?

The COMPLEX function is one of the Engineering functions of Excel.

It Converts real and imaginary coefficients into complex numbers.

We can find this function in Engineering of insert function Tab.

How to use COMPLEX function in excel

1. Click on an empty cell (like F5 )

2. Click on the fx icon (or press shift+F3).

3. In the insert function tab you will see all functions.

4. Select Engineering category.

5. Select COMPLEX function.

6. Then select ok.

7. In the function arguments Tab you will see COMPLEX function.

8. Real_num section is the real coefficient of the complex number.

9. l_num section is the imaginary coefficient of the complex number.

10. Suffix section is the suffix for the imaginary component of the complex number.

11. You will see the results in the formula result section.

Examples of COMPLEX function in Excel

1. To create a complex number with a real part of 3 and an imaginary part of 4i, use the formula “=COMPLEX(3,4)”.
2. To convert a text string “5+2i” into a complex number, use the formula “=COMPLEX(“5+2i”)”.
3. To add two complex numbers (3+4i) and (5+6i), use the formula “=COMPLEX(3,4)+COMPLEX(5,6)”.
4. To subtract two complex numbers (3+4i) and (5+6i), use the formula “=COMPLEX(3,4)-COMPLEX(5,6)”.
5. To multiply two complex numbers (3+4i) and (5+6i), use the formula “=COMPLEX(3,4)*COMPLEX(5,6)”.
6. To divide two complex numbers (3+4i) and (5+6i), use the formula “=COMPLEX(3,4)/COMPLEX(5,6)”.
7. To calculate the absolute value of a complex number (3+4i), use the formula “=ABS(COMPLEX(3,4))”.
8. To calculate the argument (phase angle) of a complex number (3+4i), use the formula “=ARG(COMPLEX(3,4))”.
9. To calculate the conjugate of a complex number (3+4i), use the formula “=CONJUGATE(COMPLEX(3,4))”.
10. To convert a polar notation of a complex number (magnitude = 5, phase angle = 60 degrees) to rectangular notation, use the formula “=COMPLEX(5COS(RADIANS(60)),5SIN(RADIANS(60)))”.

Example 1:

How to use COMPLEX function in excel

You can see examples of COMPLEX function below:

complex(A2,B2) ----->>>>answer is  1+3i

complex(A3,B3) ----->>>>answer is  1+3i

complex(A4,B4) ----->>>>answer is  2+4i

complex(A5,B5) ----->>>>answer is  2+4i

Excel’s COMPLEX Function: A Powerful Tool for Working with Complex Numbers

Excel’s COMPLEX function is a powerful tool for working with complex numbers. It allows you to create, manipulate, and perform calculations on complex numbers in Excel. With the COMPLEX function, you can add, subtract, multiply, and divide complex numbers, calculate their absolute values, argument (phase angle), and conjugate. You can also convert polar coordinates to rectangular coordinates and vice versa using the COMPLEX function.

Creating Complex Numbers in Excel Made Easy with the COMPLEX Function

Creating complex numbers in Excel is made easy with the COMPLEX function. To create a complex number, you simply need to provide the real and imaginary components of the number as arguments to the function. For example, if you want to create a complex number with a real part of 3 and an imaginary part of 4i, you can use the formula “=COMPLEX(3,4)”.

Convert Text Strings to Complex Numbers in Excel Using the COMPLEX Function

You can easily convert text strings to complex numbers in Excel using the COMPLEX function. This is useful when you have complex numbers in text format that you want to use in calculations. To do this, you simply need to provide the text string as an argument to the COMPLEX function. For example, if you have the text string “5+2i” and want to convert it into a complex number, you can use the formula “=COMPLEX(“5+2i”)”.

Add Complex Numbers with Confidence Using Excel’s COMPLEX Function

Adding complex numbers in Excel is made simple with the COMPLEX function. To add two complex numbers, you can simply use the “+” operator between them or use the COMPLEX function. For example, suppose you want to add the complex numbers (3+4i) and (5+6i). You can use the formula “=COMPLEX(3,4)+COMPLEX(5,6)”. This will give you the result (8+10i).

Subtracting Complex Numbers in Excel is a Breeze with the COMPLEX Function

Subtracting complex numbers in Excel is also made easy with the COMPLEX function. To subtract two complex numbers, you can simply use the “-” operator between them or use the COMPLEX function. For example, suppose you want to subtract the complex numbers (3+4i) and (5+6i). You can use the formula “=COMPLEX(3,4)-COMPLEX(5,6)”. This will give you the result (-2-2i).

Multiplying Complex Numbers in Excel Made Simple with the COMPLEX Function

Multiplying complex numbers in Excel is made simple with the COMPLEX function. To multiply two complex numbers, you can simply use the “*” operator between them or use the COMPLEX function. For example, suppose you want to multiply the complex numbers (3+4i) and (5+6i). You can use the formula “=COMPLEX(3,4)*COMPLEX(5,6)”. This will give you the result (-9+38i).

Divide Complex Numbers in Excel with Ease Using the COMPLEX Function

Dividing complex numbers in Excel is also made easy with the COMPLEX function. To divide two complex numbers, you can simply use the “/” operator between them or use the COMPLEX function. For example, suppose you want to divide the complex numbers (3+4i) and (5+6i). You can use the formula “=COMPLEX(3,4)/COMPLEX(5,6)”. This will give you the result (0.639344262+0.032786885i).

Calculating Absolute Values of Complex Numbers in Excel Using the COMPLEX Function

Calculating the absolute value of a complex number in Excel can be done using the ABS function, but it can also be done directly with the COMPLEX function. To calculate the absolute value of a complex number, you simply need to provide the complex number as an argument to the COMPLEX function. For example, if you want to calculate the absolute value of the complex number (3+4i), you can use the formula “=ABS(COMPLEX(3,4))”. This will give you the result 5.

Find Phase Angles of Complex Numbers in Excel Using the COMPLEX Function

Finding the phase angle (argument) of a complex number in Excel can be done using the ARG function, but it can also be done directly with the COMPLEX function. To find the phase angle of a complex number, you simply need to provide the complex number as an argument to the COMPLEX function. For example, if you want to find the phase angle of the complex number (3+4i), you can use the formula “=ARG(COMPLEX(3,4))”. This will give you the result 0.93 radians or 53.13 degrees.

Conjugate Complex Numbers in Excel Using the COMPLEX Function

Finding the conjugate of a complex number in Excel can be done using the CONJUGATE function, but it can also be done directly with the COMPLEX function. To find the conjugate of a complex number, you simply need to provide the complex number as an argument to the COMPLEX function. For example, if you want to find the conjugate of the complex number (3+4i), you can use the formula “=CONJUGATE(COMPLEX(3,4))”. This will give you the result (3-4i).

Excel’s COMPLEX Function and Polar Coordinates: A Winning Combination

The COMPLEX function in Excel can also be used with polar coordinates to create or manipulate complex numbers. In polar coordinates, a complex number is represented by its magnitude (r) and phase angle (theta). To create a complex number using polar coordinates, you can use the formula “=COMPLEX(rCOS(theta), rSIN(theta))”. For example, if you want to create the complex number with a magnitude of 5 and a phase angle of 60 degrees, you can use the formula “=COMPLEX(5COS(RADIANS(60)),5SIN(RADIANS(60)))”.

Convert Polar Coordinates to Rectangular Coordinates in Excel with the COMPLEX Function

You can easily convert polar coordinates to rectangular coordinates in Excel using the COMPLEX function. To do this, you simply need to use the COS and SIN functions to calculate the real and imaginary components of the complex number from its magnitude and phase angle. For example, suppose you have a complex number with a magnitude of 5 and a phase angle of 60 degrees. You can convert it to rectangular coordinates using the formula “=COMPLEX(5COS(RADIANS(60)),5SIN(RADIANS(60)))”, which will give you the result (2.5+4.3301i).

Perform Mathematical Operations on Complex Numbers in Excel with the COMPLEX Function

The COMPLEX function in Excel can be used to perform various mathematical operations on complex numbers, including addition, subtraction, multiplication, and division. For example, suppose you want to add the two complex numbers (3+4i) and (5+6i). You can use the formula “=COMPLEX(3,4)+COMPLEX(5,6)”, which will give you the result (8+10i). Similarly, you can use the “-” operator for subtraction, the “*” operator for multiplication, and the “/” operator for division.

Inputting Negative Imaginary Numbers in Excel with the COMPLEX Function

To input a negative imaginary number using the COMPLEX function in Excel, you simply need to use a “-” (minus) sign before the imaginary component. For example, if you want to input the complex number (-3-4i), you can use the formula “=COMPLEX(-3,-4)”.

Using the COMPLEX Function with Other Functions in Excel for Advanced Calculations

The COMPLEX function in Excel can be used with other functions in order to perform advanced calculations on complex numbers. For example, you could use the COMPLEX function with the SUM or AVERAGE functions to calculate the sum or average of a group of complex numbers. You could also use it with conditional formatting to highlight cells that contain certain complex numbers. Additionally, you could use it with charting tools in Excel to create graphical representations of complex numbers.

Formatting Complex Numbers in Excel with the COMPLEX Function for Improved Readability

You can format complex numbers in Excel using the FORMAT function to improve their readability. This allows you to display complex numbers in a variety of formats, including standard, scientific, and custom formats. For example, suppose you have the complex number (3+4i) in cell A1. You can format it to display as “3+4i” by using the formula “=TEXT(A1,”0+#.00i”)”.

Conditional Formatting with the COMPLEX Function in Excel: Tips and Tricks

Conditional formatting with the COMPLEX function in Excel can be used to highlight cells that contain certain complex numbers or meet certain criteria. For example, you could use conditional formatting to highlight all cells that contain complex numbers with a magnitude greater than 10. To do this, you would need to create a new conditional formatting rule using a formula such as “=ABS(A1)>10”, where A1 is the cell containing the complex number.

Charting Complex Numbers in Excel with the COMPLEX Function for Data Visualization

Charting complex numbers in Excel with the COMPLEX function is a powerful tool for data visualization. You can use a scatter chart to plot the real and imaginary components of the complex numbers against each other. For example, suppose you have a list of complex numbers in column A. You can create a scatter chart by selecting the range A1:A10, clicking on the Insert tab, and selecting the Scatter chart type. Then, under Chart Tools > Design, select “Switch Row/Column” to switch the axes.

Solving Complex Equations in Excel with the COMPLEX Function: A Step-by-Step Guide

You can solve complex equations in Excel using the COMPLEX function and the Solver add-in. The Solver add-in is a powerful optimization tool that allows you to find the optimal values of variables that satisfy a set of constraints. To solve a complex equation, you would need to create a model in Excel that represents the equation, set up the Solver add-in to find the optimal values of the variable, and then use the COMPLEX function to calculate the solution.

Troubleshooting Errors When Using the COMPLEX Function in Excel: Common Issues and Solutions

Common errors when using the COMPLEX function in Excel include incorrect syntax, missing arguments, and incorrect data types. To troubleshoot these issues, you can check the syntax of the formula, ensure that all required arguments are present, and make sure that the data types of the arguments are correct. Additionally, you should make sure that your version of Excel supports the COMPLEX function, as this function was introduced in Excel 2013.

COMPLEX related functions 

• Use IMREAL function to return the real coefficient of a complex number.
• Use IMAGINARY Function to return the imaginary coefficient of a complex number.
• Use IMDIV function to return the quotient of two complex numbers.

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Excel IMCONJUGATE Function Excel IMAGINARY Function Excel IMLOG2 function Excel IMEXP Function