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Because there is an angle involved. If - for example - the resistance (the real part) is 10 ohms, and the reactance (the imaginary part) is also 10, then there is an angle of 45 degrees; which actually means that this will be the displacement angle between the voltage and the current.
Impedance may just be specified with an angle; but it turns out that the calculations between voltage, current, and impedance correspond precisely to the calculations with complex numbers.
Because there is an angle involved. If - for example - the resistance (the real part) is 10 ohms, and the reactance (the imaginary part) is also 10, then there is an angle of 45 degrees; which actually means that this will be the displacement angle between the voltage and the current.
Impedance may just be specified with an angle; but it turns out that the calculations between voltage, current, and impedance correspond precisely to the calculations with complex numbers.
Because there is an angle involved. If - for example - the resistance (the real part) is 10 ohms, and the reactance (the imaginary part) is also 10, then there is an angle of 45 degrees; which actually means that this will be the displacement angle between the voltage and the current.
Impedance may just be specified with an angle; but it turns out that the calculations between voltage, current, and impedance correspond precisely to the calculations with complex numbers.
Because there is an angle involved. If - for example - the resistance (the real part) is 10 ohms, and the reactance (the imaginary part) is also 10, then there is an angle of 45 degrees; which actually means that this will be the displacement angle between the voltage and the current.
Impedance may just be specified with an angle; but it turns out that the calculations between voltage, current, and impedance correspond precisely to the calculations with complex numbers.
Because there is an angle involved. If - for example - the resistance (the real part) is 10 ohms, and the reactance (the imaginary part) is also 10, then there is an angle of 45 degrees; which actually means that this will be the displacement angle between the voltage and the current.
Impedance may just be specified with an angle; but it turns out that the calculations between voltage, current, and impedance correspond precisely to the calculations with complex numbers.
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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.
What are the two types of numbers used in science?
Real and Complex. Real numbers are your everyday numbers that most people are familiar with and Complex numbers are Real numbers mixed with imaginary numbers. Of course this is a VERY BROAD oversimplification, and the question is somewhat vague in that there are other "types" of numbers that are used, but I think this is the answer you are looking for.
What is the relation of complex numbers to real numbers?
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
Could anyone list numbers not in the set of complex numbers?
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
What is the physical significance of complex numbers?
They are frequently used in Engineering applications.
Give the equation for determining the total impedance in a inductive and resistive circuit?
Simple addition, but it must be done with complex numbers.
Why is impedance represented by the letter z in electronics?
I would hazard that the letter Z was chosen for because it's the last letter of the Roman alphabet. The connection is that Omega is the last letter of the Greek alphabet and is the unit symbol used for impedance. Either that or its on heck of a coincidence!
What is the impedence?
Impedance is the complex form of resistance. Impedance takes into account capacitance and inductance in a circuit as well. Impedance can be represented as resistance as a function of frequency.See link.AnswerImpedance is not a 'complex form of resistance'. It is the vector sum of a circuit's resistance and reactance. In electrical engineering, 'resistance' has a very specific meaning, and cannot be used to denote 'opposition'.
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.
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 are complex numbers subsets of?
Complex numbers are basically "numbers in two dimensions". You can extend them to more dimensions; one superset that is sometimes used is the quaternions, which are numbers in four dimensions.
What is used to measure impedance?
an ohm meter concerning electrical impedance
What is the function of operator 'j' in alternating current?
The operator 'j' represents the imaginary unit in alternating current circuits. It is used to denote the phase difference or angular displacement between voltage and current waveforms in complex impedance calculations. The use of 'j' helps in simplifying mathematical calculations in AC circuits by treating the impedance as a complex number.
What are the two types of numbers used in science?
Real and Complex. Real numbers are your everyday numbers that most people are familiar with and Complex numbers are Real numbers mixed with imaginary numbers. Of course this is a VERY BROAD oversimplification, and the question is somewhat vague in that there are other "types" of numbers that are used, but I think this is the answer you are looking for.
What is complex math?
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
If a and b are any real numbers what is the conjugate of a plus b?
The concept of conjugate is usually used in complex numbers. If your complex number is a + bi, then its conjugate is a - bi.
What is the relation of complex numbers to real numbers?
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
