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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).
