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What is the Main purpose of complex.h header file in c plus plus?
The complex header implements complex numbers. Complex numbers are represented by the expression a + bi where a and b are real numbers and i is an imaginary unit that satisfies the constant expression i squared = -1. Complex numbers allow imaginary solutions to expressions that have no actual solution. For instance, (x + 1) squared = -9 has no real solution, but does have two imaginary solutions when x = (a + bi), where a is -1 and b can be 3 or -3. Note that library headers with an h extension are pre-standard headers. After standardisation, all library headers dropped the h extension including the complex header. Older compilers may still provide both versions of a library header, but in this day and age you should always use the standardised headers (no extension). #include<complex.h> // non-standard #include<complex> // standardised
How do you relate AC and DC voltage by means of complex numbers?
A complex number is a combination of real and imaginary numbers. An example of a complex number is the expression (a + jb), in which the letter j is called an 'operator'. In this example, the operator +j indicates that the quantity b is acting at an angle of +90o to quantity a -or is 'leading' a by 90o. If the operator was -j, then it would be indicating that quantity bis acting at -90o to quantity a -or is 'lagging' a by 90o.Mathematicians use the letter 'i' to represent an imaginary number, but in electrical engineering we use the letter 'j'. This is because we already use a lower-case 'i'to represent an instantaneous value of current. In mathematics, the operator is sometimes written after the quantity to which it applies (i.e. 'bj'), but it is more usual, in engineering, to place the operator in front of that quantity (i.e. 'jb').The application of the operator 'j' to a phasor, then, acts to rotate that phasor, counterclockwise, through 90 degrees.The term, 'imaginary', is misleading -it doesn't mean that it exists only in the mind! It is simply a mathematician's term for 'quadrature', meaning 'lying along the y-axis'.A.C. quantities, such as current and voltage, can be resolved into horizontal and vertical components. So, we can represent an alternating-current quantity by a complex number which represents its in-phase component together with its quadrature (plus or minus 90o) component. For example, 3+j4 could represent a 5-A current, whose in-phase component is 3 A, and whose quadrature component is 4 A (i.e. which leads the in-phase component by 90o).Complex numbers enable complex a.c. circuits to be resolved relatively easily, and without the need to construct complicated phasor diagrams.As in-phase and quadrature ('imaginary') components only apply to a.c. quantities, we do not need to apply complex numbers to d.c.
How do write a program in c plus plus for addition and subtraction of two complex numbers?
#include<iostream>#include<complex> int main () { using namespace std; complex a {1, 1}; complex b {42, 2}; cout a << " + " << b << " = " << a + b << endl; cout a << " - " << b << " = " << a - b << endl; }
Give the equation for determining the total impedance in a inductive and resistive circuit?
Simple addition, but it must be done with complex numbers.
What is the basic salary of civil engineer?
The yearly salary of a person who works in civil engineering solely depends upon your position in which you are working. If you are a beginning engineer your average salary is about $58,590 (rounded). Anywhere from there the salaries go from $71,400 up to $112,790 (all numbers are rounded to come out to whole numbers).
What is the physical significance of complex numbers?
They are frequently used in Engineering applications.
What are the engineering applications of complex numbers and matrices?
I suggest asking separate questions for complex numbers, and for matrices. Complex numbers are used in a variety of fields, one of them is electrical engineering. As soon as AC circuits are analyzed, it turns out that complex numbers are the natural way to do this.
What jobs use complex numbers and how do they use them?
I suggest you read the Wikipedia article con complex numbers, specifically the section "Applications". One example is electrical engineering: in the case of AC, it helps to express all voltages, currents and impedances (equivalent of resistances) as complex numbers.
How will you use a complex number in your life?
As well as their use within mathematics, complex numbers have practical applications in many fields, including physics, chemistry, biology, economics, electrical engineering, and statistics.
What careers use complex numbers?
Engineering (especially electrical engineering), Math, Physics mainly.
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.
Applications and use of complex numbers in engineering?
Any physical motion which is periodic, such as an oscillating beam, string, wire, pendulum, electronic signal, or electromagnetic wave can be represented by a complex number function. This can make calculations with the various components simpler than with real numbers and sines and cosines.
What are the applications of complex numbers?
There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include: Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.Electricity, with AC, uses complex quantitites.Quantum physicsArt - ever seen the Mandelbrot set, or other fractals?
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.
What jobs involve complex numbers?
Mainly engineering, particularly control theory and other electronic systems; complex numbers are useful to represent oscillation frequency and phase information.
What kind of jobs use logarithms and complex numbers?
Various engineering fields will use them. Electricity and electronics.
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.
