The operator, 'j', is used to indicate a phasor quantity that has been rotated, counterclockwise, through an angle of 90 degrees.
So, if (for example) the operator is applied to a voltage U, then it is written as jU, which indicates means that the voltage lies along the vertical positive axis. A further operation by j, results in jjU, or j2 U, which means that the voltage lies along the horizontal negative axis -so, j2 is equivalent to -1U (or j is equivalent to the square-root of -1) or, simply, -U.
A further operation by j, results in the voltage lying along the negative vertical axis: that is: jjjU = jj2U=-jU.
But to answer your question, for inductive reactance (XL), we express impedance (Z) a follows: Z = R+jXL and, for capacitive reactance (XC), we express impedance as Z = R - jXC (the L and C should be subscripts).
Strictly-speaking the operator j doesn't actually apply to impedance, because impedance, resistance, and reactance or not phasor (vector) quantities. So if we wanted to be strictly accurate, the above equations should be written as:
(E/I) = (UR/I) + j (UL/I) and (E/I) = (UR/I)- j (UC/I)
...but this is being rather pedantic.
Reactance is -1/2 pi F C so a 25 uF capacitor at 400 Hz would have a reactance of about -15.9 ohms. The negative sign indicates that capacitive reactance is leading, with current leading voltage.AnswerI would take issue with the previous answer that capacitive reactance is expressed as a negative value, or that it is 'leading'. Reactance is not a vector quantity, so it neither leads nor lags anything. In a (theoretically) purely capacitive circuit, it is the load current that leads the supply voltage. However, when using complex notation, capacitive reactance is expressed as -j 15.9 ohms, where 'j' is called an 'operator' -but even this does not mean that the reactance is 'leading', as it defines reactance in terms of a current phasor -in other words, the '-j' refers to the relative position of current to voltage, not reactance to impedance.
Resistance is like frictional force. It opposes flow of electricity. So this will consume some electricity in the form of heat. Measured (in Ohm) Inductance (in Henry) nd capacitance (in farad) stores energy in their electromagnetic nd electrostatic fields respectively. They don't consume any power. But in real scenarios due to the element's internal resistances used in design they usually have a drop. But these two have important spot in engineering. Both of them effects the powerfactor in the circuits.
The prefix increment operator is overloaded as operator++() while the postfix increment operator is overloaded as operator++(int).
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retail operator responsobilities
Reactance is -1/2 pi F C so a 25 uF capacitor at 400 Hz would have a reactance of about -15.9 ohms. The negative sign indicates that capacitive reactance is leading, with current leading voltage.AnswerI would take issue with the previous answer that capacitive reactance is expressed as a negative value, or that it is 'leading'. Reactance is not a vector quantity, so it neither leads nor lags anything. In a (theoretically) purely capacitive circuit, it is the load current that leads the supply voltage. However, when using complex notation, capacitive reactance is expressed as -j 15.9 ohms, where 'j' is called an 'operator' -but even this does not mean that the reactance is 'leading', as it defines reactance in terms of a current phasor -in other words, the '-j' refers to the relative position of current to voltage, not reactance to impedance.
Resistance is like frictional force. It opposes flow of electricity. So this will consume some electricity in the form of heat. Measured (in Ohm) Inductance (in Henry) nd capacitance (in farad) stores energy in their electromagnetic nd electrostatic fields respectively. They don't consume any power. But in real scenarios due to the element's internal resistances used in design they usually have a drop. But these two have important spot in engineering. Both of them effects the powerfactor in the circuits.
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.
Harry Elecks Moses has written: 'The Kohn-Hulthen variational procedure for the scattering operator and the reactance operator; Part II: Procedure independent of the normalization of the trial functions' -- subject(s): Accessible book
k is the operator; y is the initiend.
comparison operator
Relational Operators
The different types of operators are as follows: *Arithmatic operator *Relational operator *Logical operator *Assignment operator *Increment/Decrement operator *Conditional operator *Bitwise operator *Special operator
The harmonic oscillator ladder operator is a mathematical tool used to find the energy levels of a quantum harmonic oscillator system. By applying the ladder operator to the wave function of the system, one can determine the energy levels of the oscillator. The ladder operator helps in moving between different energy levels of the system.
A mathematical sentence consists of combined expressions using a comparison operator. It also creates a relationship between two expressions to create facts.
conditional operator , size of operator , membership operator and scope resulation operator can not be overload in c++
Java does not have the sizeOf() operator or any operator that gives an equivalent result.