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Foster's reactance theorem states that the reactance of a passive, lossless two terminal network always strictly monotonically increases with frequency. This is a very important theorem in the fields of electrical network analysis and synthesis.Ê
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What is difference in resistance and reactance?
Resistance is a concept used for DC. the current through a resistance is in phase with the applied voltage Reactance is used for AC the current through a inductive reactance lags the applied voltage by 90 degrees. the current through capacitive reactance leads the applied voltage by 90 degrees. the net reactance is the difference between inductive and capacitive reactance
What two factors determine the capacitive reactance of a capacitor?
capacitive reactance is inversely proportional to the capacitance of the capacitor and frequency of the AC line reactance (in ohms) = 1/(capacitance * frequency)
What factors affect the reactance of a capacitor?
Reactance (in ohms) = 1/(2 pi * capacitance * frequency). Capacitance is in farads. Frequency is in Hertz (cycles/second). So increasing capacitance or increasing frequency will decrease reactance.
What are the three types of opposition to current flow that impedance represents?
There is pure resistance, inductive reactance, and capacitive reactance.
What two facctors determine the capacitive reactance of a capacitor?
The reactance of a capacitor is a function of -- the capacitance of the capacitor -- the frequency of the voltage across the capacitor
Foster's Reactance theorem in network theory?
Foster's reactance theorem states that a passive network (containing only resistors, inductors, and capacitors) can be represented as a series of LC parallel branches, where the reactance of each branch is either positive or zero. This theorem simplifies the analysis of networks by decomposing complex impedance into simpler components that are easier to analyze. It is a fundamental result in network theory that helps in understanding the behavior of passive networks.
What is the unit of inductive reactance?
Inductive reactance, as well as capacitive reactance, is measured in ohms.
What is total impedance of a circuit when the resistance is 15k ohms and the capacitive reactance is 10k ohms?
You can write this as a complex number; the resistance is the real part, the reactance is the imaginary part (negative, for a capacitive reactance): 15 + j10 kilohms. ("j" is used instead of "i", to avoid confusion with current, which is symbolized by "i".) This is in rectangular coordinates; with a scientific calculator you can use rectangular --> polar conversion, to get the absolute value and the angle. To get just the absolute value, use Pythagoras' Theorem, which in this case gives about 18 kilohms.You can write this as a complex number; the resistance is the real part, the reactance is the imaginary part (negative, for a capacitive reactance): 15 + j10 kilohms. ("j" is used instead of "i", to avoid confusion with current, which is symbolized by "i".) This is in rectangular coordinates; with a scientific calculator you can use rectangular --> polar conversion, to get the absolute value and the angle. To get just the absolute value, use Pythagoras' Theorem, which in this case gives about 18 kilohms.You can write this as a complex number; the resistance is the real part, the reactance is the imaginary part (negative, for a capacitive reactance): 15 + j10 kilohms. ("j" is used instead of "i", to avoid confusion with current, which is symbolized by "i".) This is in rectangular coordinates; with a scientific calculator you can use rectangular --> polar conversion, to get the absolute value and the angle. To get just the absolute value, use Pythagoras' Theorem, which in this case gives about 18 kilohms.You can write this as a complex number; the resistance is the real part, the reactance is the imaginary part (negative, for a capacitive reactance): 15 + j10 kilohms. ("j" is used instead of "i", to avoid confusion with current, which is symbolized by "i".) This is in rectangular coordinates; with a scientific calculator you can use rectangular --> polar conversion, to get the absolute value and the angle. To get just the absolute value, use Pythagoras' Theorem, which in this case gives about 18 kilohms.
Can a capacitor be used in the Thevenin Theorem?
Sure, but it won't mean anything unless the Thevenin source is an AC source. In that case, simply determine the frequency of the source, and draw the appropriate reactance in the circuit where the capacitor belongs. If the Thevenin source is DC, then the frequency is zero, the reactance of the capacitor is infinite, and you can show it as an open circuit, i.e. not there.
What does capacitive reactance oppose?
Inductive reactance.
What is the inverse of reactance?
The reciprocal of reactance is susceptance, expressed in siemens.
What are the letters for Inductive Reactance?
The symbol for inductive reactance is XL.
How does doubling the frequency effect the reactance of an inducter and capacitor?
for inductor, reactance XL = 2*pi* f *L, if frequency doubles then reactance increase. But for capacitor, reactance Xc = 1/(2*pi*f*C). In this case if frequency doubles the reactance decrease.
What is synchronous reactance in alternator?
The overall reactance of the armature winding is the sum of its leakage reactance plus fictitious reactance, which is known as synchronous reactance (Xs).Xs=XL+Xarwhere XL and Xar are in Ω/phase. Therefore, Xs is in Ω/phase.The impedance of armature winding is obtained by combining its resistance and its synchronous reactance.
What is the symbol for inductive reactance?
Inductive reactance does NOT have it own sign or symbol. Rather, it uses Ohms as a quantifier. But Capacitive reactance ALSO uses Ohms as a quantifier. Fortunately, 1 Ohm of Inductive reactance is cancelled by 1 Ohm of Capacitive reactance at the same frequency of measurement.
What is the reason that capacitive reactance measured in ohms?
Because it is. Capacitive reactance is a form of resistance, along with inductive reactance. All are measured in ohms.
What is difference in resistance and reactance?
Resistance is a concept used for DC. the current through a resistance is in phase with the applied voltage Reactance is used for AC the current through a inductive reactance lags the applied voltage by 90 degrees. the current through capacitive reactance leads the applied voltage by 90 degrees. the net reactance is the difference between inductive and capacitive reactance
