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Q: Why complex numbers are used in circuit analysis?
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What are imaginary numbers and how are they used in real life situations?

Imaginary numbers are a mathematical concept, first defined to handle the square root of negative numbers. At first, many mathematicians did not think very kindly of them, until Euler's formula in the 1700's, then later applications in electricity and wave analysis were recognized.Complex numbers are numbers on a plane, for which special which special operations are defined. Complex numbers have a real part, and an imaginary part.There are several practical applications; for example, electrical engineers use complex numbers for circuit calculations with AC. There are other applications, too; for example, in art (creating interesting patterns, called fractals - based on calculations with complex numbers). Quantum mechanics routinely uses complex numbers.The Wikipedia article on complex numbers gives a good overview.The Picomonster website has some cool animations which show complex and imaginary numbers 'in action', so to speak.


What are considered complex numbers?

A complex number is any number that can be represented in the form of a+bi, the real numbers are a and b, the imaginary number is i. Complex numbers are used in scientific and engineering fields.


What are the two types of numbers used in science?

Real and Complex. Real numbers are your everyday numbers that most people are familiar with and Complex numbers are Real numbers mixed with imaginary numbers. Of course this is a VERY BROAD oversimplification, and the question is somewhat vague in that there are other "types" of numbers that are used, but I think this is the answer you are looking for.


What is the physical significance of complex numbers?

They are frequently used in Engineering applications.


What are the applications of Norton theorem?

Both Thévenin's theorem and Norton's theorem are used to simplify circuits, for circuit analysis.