0
'Complex numbers' are numbers that comprise 'real' and 'imaginary' numbers. In electrical engineering, we identify 'imaginary' numbers by placing a lower-case 'j' in front of them. For example, the complex number (10 + j5) comprises the 'real' number, 10, and an 'imaginary' number, 5.
We use complex numbers to locate points on a graph. Mathematicians call the horizontal axis of a graph the 'real axis', and they call the vertical axis the 'imaginary axis'. So 'imaginary' doesn't mean something that only exists in the mind, it's simply a mathematical term for the vertical axis of a graph. So the complex number (10 + j5) is used to represent a point which is located 10 units along the positive horizontal axis and 5 units along the positive vertical axis.
In alternating current theory, we use 'phasors' (a type of vector) to represent voltages or currents that lie at different angles to each other, so we can define them in terms of horizontal and vertical axes. In other words, every phasor can be defined in terms of real and imaginary numbers. We can then use the rules of 'complex mathematics' to multiply, divide, add, or subtract phasors -but that's another story!
Add your answer:
Earn +20 pts
Which term is used for the imaginary lines joining the places of equal rainfall?
Isohyets are the term used for imaginary lines joining places of equal rainfall.
What does (I) stand for in an equation?
i is used for the imaginary square root of -1
Imaginary lines used to measure distances north and south of the Equator are lines of?
Lines of latitude are imaginary lines used to measure distances north and south of the Equator or 0 degrees.
What term refers to factual information used for calculation?
Data.
Which two commands can be used to modify the default OSPF metric calculation of a link?
The "ip ospf cost" command can be used to manually set the cost of an OSPF-enabled interface. The "bandwidth" command can indirectly affect OSPF metric calculation by adjusting the bandwidth on an interface, which in turn affects the OSPF metric calculation.
What type of problems have imaginary numbers?
Imaginary numbers are only ever used when you are using the square roots of negative numbers. The square root of -1 is i. You may find imaginary numbers when you are finding roots of equations.
What types of numbers cannot be used in calculation?
All types of numbers can be used in some kind of calculation. The question is not clear. <Feb 18, 2014 - B.C.>
Why did mathmaticions invent imaginary numbers?
It is used in Electrical Engineering alot.
What Is the use of imaginary axis in real life?
The imaginary axis is used in the definition of the complex numbers. Complex numbers are used in many fields in engineering, in particular - electric engineering, aerodynamics, acoustics etc.
How did imaginary numbers impact mathematics?
Imaginary numbers are used in complex numbers that make some math simpler like electronics where there is a cycle frequency it makes the math much simpler to handle complex equations
What value would Excel include in a calculation?
Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.Any type of value can be used in a calculation, mainly numbers, but also things like dates, text and logical values. If used in a function, the values are known as arguments.
Example of properties of real numbers?
examples: 1, 2, 0, -5, sqrt(2), pi etc. real numbers means numbers on the real plane. the opposite of real numbers are imaginary numbers which takes the format of ai, in which the i is the imaginary unit they do not exist on the real plane, but only on the imaginary plane. they can be found by square-rooting a negative number, e.g. sqrt(-4)=2i usually imaginary numbers are used with real numbers, with the format a+bi, and this is called complex numbers.
How many significant figures should be in resulting calculation?
The answer depends on what operations were used. There should normally not be more significant figures in the answer than in any of the numbers used in the calculation.
Uses of imaginary numbers?
In advanced calculations.Answer:Imaginary numbers are used extensively in the development of electronic systems, control systems and physics.
What are imaginary numbers and where are they used?
This is related to complex numbers. Real numbers can be represented on a line. Complex numbers are a type of vector, in two dimensions. The way complex numbers are usually represented, the horizontal axis is the "real" part, while the vertical axis is called the "imaginary" part. Don't give too much importance to the words "real" and "imaginary"; they are used for historical reasons. Thus, any point on the complex plane is made up of two components - a real part and an imaginary part - for example, 3 + 4i, or -5 - 2i. The first part is the "real" part, and the second, with the "i" at the end, the "imaginary" part. Addition of complex numbers is quite straightforward, just add the components. For multiplication, i2 is defined as -1. Other than that, just do a normal polynomial multiplication. Where are complex numbers used? In a variety of areas, including electricity, quantum mechanics, art (take a look at fractals for some examples!), and many other areas.
Jobs that require the use of imaginary numbers?
Physics (e.g., quantum mechanics, relativity, other subfields) makes use of imaginary numbers. "Complex analysis" (i.e., calculus that includes imaginary numbers) can also be used to evaluate difficult integrals and to perform other mathematical tricks. Engineering, especially Electrical Engineering makes use of complex and imaginary numbers to simplify analysis of some circuits and waveforms.
Why are imaginary numbers used in electronic systems control systems and physics?
Mathematics is beautiful in itself. Back in the 1700s and later, mathematicians studied "imaginary" numbers (numbers that involve a factor of the square root of -1) knowing that they didn't describe anything "real", the way "real numbers" do. But when beauty can be melded to practicality, things get REALLY interesting. It turns out that you can use imaginary numbers and "complex numbers" (which have a "real" component and an "imaginary" component) to describe the way radiation and electromagnetic fields behave.
