To work with complex numbers, it helps to have a standard mathematical notation. There are two basic forms of complex number notation:
· Polar form
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Write My Essay For Me· Rectangular form
Polar form is where a complex number is denoted by the length (also known as the magnitude) and the angle. In rectangular form, the complex number is denoted by its respective horizontal and vertical components.
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In your original post, research one of the following questions.
Complete the following:
Choose one (1) of the basic forms of complex number notation—polar form or rectangular form—and research how it is applicable to the real world.
Summarize the application; be specific.
Create at least one original mathematical example that covers the application.
Answer
I have chosen to research the application of rectangular form of complex numbers.
Rectangular form of complex numbers, also known as Cartesian form, represents a complex number as the sum of its horizontal and vertical components. The horizontal component, also known as the real part, is denoted by the variable x, while the vertical component, also known as the imaginary part, is denoted by the …Order a customized and more comprehensive answer here
One of the most common applications of rectangular form of complex numbers is in the field of electrical engineering, specifically in the analysis and design of circuits. The alternating current (AC) in an electrical circuit can be represented by a complex number in rectangular form, where the real part represents the amplitude of the sine wave and the imaginary part represents the amplitude of the cosine wave. This representation is known as phasor …Order a customized and more comprehensive answer here
One example of using rectangular form of complex numbers in electrical engineering is in the analysis of a series RLC circuit. The circuit consists of a resistor, an inductor and a capacitor connected in series. The voltage across each component can be represented by a complex number in rectangular form. By using…Order a customized and more comprehensive answer here
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