##### Asked by: Ikram Alvargonzalez

asked in category: General Last Updated: 16th January, 2020# What is the modulus of complex number?

**Modulus**of a

**Complex Number**. Definition of

**Modulus**of a

**Complex Number**: Let z = x + iy where x and y are real and i = √-1. Then the non negative square root of (x2+ y 2) is called the

**modulus**or

**absolute value**of z (or x + iy).

Also, what is the modulus and argument of a complex number?

The **modulus** can be found by using Pythagoras' Theorem where a **complex number** in the form z=a+bi has a **modulus** of sqrt(a^2+b^2). The **argument of a complex number** is the angle between the positive real axis and the line segment created by the **complex number** and the origin in the anticlockwise direction.

One may also ask, what is the modulus of a number? The **modulus of a number** is its absolute size. That is, we disregard any sign it might have. Example The **modulus** of −8 is simply 8. The **modulus** of 0 is 0. So, the **modulus** of a positive **number** is simply the **number**.

People also ask, what is the complex modulus?

Dynamic **modulus** (sometimes **complex modulus**) is the ratio of stress to strain under vibratory conditions (calculated from data obtained from either free or forced vibration tests, in shear, compression, or elongation). It is a property of viscoelastic materials.

Is the modulus of a complex number always positive?

**Modulus**. Notice that the **modulus of a complex number** is **always** a real **number** and in fact it will never be negative since square roots **always** return a **positive number** or zero depending on what is under the radical.