Application of complex numbers in Engineering?

In summary, complex numbers have various applications in fields such as circuitry, circular motion in motors, oscillations, digital signal processing, image processing, fluid flow, and stress analysis. They are commonly used in physics and engineering at an advanced level.
  • #1
AndreJ
26
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I'm currently studying complex numbers in my high maths class, moving onto trigonometry. I already know some applications of complex numbers, such as phase differences in capacitive and inductive circuits, but what other applications are there?

Can they be applied to circular motion in motors? Oscillations? I'd like to know what are some applications are.
 
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  • #2
AndreJ said:
Can they be applied to circular motion in motors? Oscillations? I'd like to know what are some applications are.

Yes and yes.

Also in digital signal processing, image processing, fluid flow, stress analysis - there are a huge range of applications. Once you get past the "elementary" level, they turn up almost anywhere in physics or engineering.
 
  • #3
what is aplication of complex no engineering
 

1. How are complex numbers used in electrical engineering?

Complex numbers are used in electrical engineering to represent quantities that have both magnitude and direction, such as voltage and current. They are also used to solve equations in AC circuits, where the values of voltage and current are constantly changing.

2. What is the significance of complex numbers in signal processing?

In signal processing, complex numbers are used to represent signals that vary in both amplitude and phase. This allows engineers to analyze and manipulate signals using mathematical operations such as Fourier transforms.

3. How do complex numbers play a role in control systems?

In control systems, complex numbers are used to represent the transfer functions of systems, which describe how inputs affect outputs. They are also used in the design of controllers and in stability analysis of systems.

4. What is the application of complex numbers in mechanical engineering?

In mechanical engineering, complex numbers are used in the analysis of vibrations and oscillations in systems. They are also used in fluid dynamics to represent the complex behavior of fluids.

5. How are complex numbers used in computer graphics and image processing?

Complex numbers are used in computer graphics and image processing to represent points in 2D and 3D space. They are also used in transformations and rotations of images, as well as in compression algorithms.

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