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What Is the use of imaginary axis in real life?

Updated: 4/28/2022
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Pickusaikat

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14y ago

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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.

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Q: What Is the use of imaginary axis in real life?
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How imaginary numbers are used in electricity into calculation?

'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!


What is an antonym of real?

dishonest, fake, false, feigned, imaginary, invalid, untrue. Depending on the definition of real that you use.


What are the square roots of 6i?

You should write this in polar notation, i.e., with an angle. Visualize the imaginary axis as being 90° from the real axis. Thus, 6i = 6 (angle) 90°, that is, it has an absolute value of 6, and is at an angle of 90°. The main square root of that is equal to the square root of 6 (angle) 45°. To get the other square root, add 180° degrees to that angle (same absolute value). Now, use your calculator's polar-->rectangular conversion to separate that into real and imaginary parts (if that's what you want).


How do you use complex and imaginary numbers in your daily life?

you would use complex and imaginary numbers in your daily life if you become a mathematician, electrical engineer, quantam mechanic, etc. otherwise, you would not use use them at all except in algebra 2, pre-calc, calculus....i hope that helped a little bit.


How can you use a number line to order real-life events?

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How do you use imaginary numbers in real life?

Although most of us do not use imaginary numbers in our daily life, in engineering and physics they are in fact used to represent physical quantities, just as we would use a real number to represent something physical like the length of a stick or the distance from your house to your school. In general, an imaginary number is used in combination with a real number to form something called a complex number, a+bi where a is the real part (real number), and bi is the imaginary part (real number times the imaginary unit i). This number is useful for representing two dimensional variables where both dimensions are physically significant. Think of it as the difference between a variable for the length of a stick (one dimension only), and a variable for the size of a photograph (2 dimensions, one for length, one for width). For the photograph, we could use a complex number to describe it where the real part would quantify one dimension, and the imaginary part would quantify the other. In electrical engineering, for example, alternating current is often represented by a complex number. This current requires two dimensions to represent it because both the intensity and the timing of the current is important. If instead it were a DC current, where the current was totally constant with no timing component, only one dimension is required and we don't need a complex number so a real number is sufficient. The two key points to remember are that the imaginary part of the complex number represents something physical, unlike it's name implies, and that the imaginary number is used in complex numbers to represent a second dimension. Remember, a purely imaginary voltage in an AC circuit will shock you as badly as a real voltage - that's proof enough of it's physical existence. I'll put a link in the link area to a great interactive site (it's actually my site but for it's educational purposes only) that explains the imaginary number utility more visually with animations.


How can you use solving equations in real life?

School is part of real life... if you are using equations in school that is real.


How do you use imaginary in a sentence?

Most fictional books are imaginary


What kind of estate establishes the ownership of property for only the life of the owner?

A Life Estate provides the right to the use and sole possession of real estate for the life of the life tenant.A Life Estate provides the right to the use and sole possession of real estate for the life of the life tenant.A Life Estate provides the right to the use and sole possession of real estate for the life of the life tenant.A Life Estate provides the right to the use and sole possession of real estate for the life of the life tenant.


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.


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Use of ap in real life?

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