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What is Modulus Z?

Profile image of Aniket Singh
1 Year agoGrade
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Profile image of Askiitians Tutor Team
1 Year ago

The modulus of a complex number, often denoted as |z|, is a measure of its distance from the origin (0,0) in the complex plane. In other words, it represents the magnitude or absolute value of the complex number. If you have a complex number z in the form a + bi, where "a" is the real part and "b" is the imaginary part, then the modulus of z is calculated as follows:

|z| = √(a^2 + b^2)

In this formula, you square the real part (a), square the imaginary part (b), add these squared values together, and then take the square root of the sum to get the modulus of the complex number.

The modulus provides important information about a complex number's magnitude, which can be useful in various mathematical and engineering applications, such as calculating absolute values, finding distances, and analyzing signals in electrical engineering and physics.