Description

This symbol represents the imaginary unit, which is defined as the square root of \(-1\). \( j = \sqrt{-1}\). It is the most fundamental unit in the field of complex numbers, allowing for the expression of numbers that cannot be represented on the real number line. This concept allows for the creation of complex numbers, expressed as \(a + bj\), where \(a\) and \(b\) are real numbers.

The symbol \(j\) represents the imaginary unit, which is defined as the square root of \(-1\). \( j = \sqrt{-1}\). It is the most fundamental unit in the field of complex numbers, allowing for the expression of numbers that cannot be represented on the real number line. This concept allows for the creation of complex numbers, expressed as \(a + bj\), where \(a\) and \(b\) are real numbers. To graph these numbers, an additional dimension is added to the number line, as can be seen in the figure below:

Argand Diagram, showing the real axis horizontally and the imaginary axis vertically. It shows a point with a real value, a, and imaginary value, b creating a vector (a + bj). It is also shown as a vector called Z.

References

The Engineering Toolbox: Complex Numbers: https://www.engineeringtoolbox.com/complex-numbers-d_1921.html accessed: 2024-02-10

Imaginary Number

Unique ID: /.imag

Description

References