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In electrical circuits, reactance is the opposition presented to alternating current by inductance and capacitance. [1] Along with resistance, it is one of two elements of impedance; however, while both elements involve transfer of electrical energy, no dissipation of electrical energy as heat occurs in reactance; instead, the reactance stores energy until a quarter-cycle later when the energy ...
It can be seen that inductive reactance of an inductor increases proportionally with frequency , so an inductor conducts less current for a given applied AC voltage as the frequency increases. Because the induced voltage is greatest when the current is increasing, the voltage and current waveforms are out of phase ; the voltage peaks occur ...
Reactance is measured in ohms but referred to as impedance rather than resistance; energy is stored in the magnetic field as current rises and discharged as current falls. Inductive reactance is proportional to frequency. At low frequency the reactance falls; at DC, the inductor behaves as a short circuit.
Reactance is the imaginary part of the complex electrical impedance.Both capacitors and inductors possess reactance (but of opposite sign) and are frequency dependent. The specification that the network must be passive and lossless implies that there are no resistors (lossless), or amplifiers or energy sources (passive) in the network.
Series RL, parallel C circuit with resistance in series with the inductor is the standard model for a self-resonant inductor. A series resistor with the inductor in a parallel LC circuit as shown in Figure 4 is a topology commonly encountered where there is a need to take into account the resistance of the coil winding and its self-capacitance.
where gives the reactance of the inductor at resonance. The numerator implies that in the limit as ω → ± ω 0 , the total impedance Z will be zero and otherwise non-zero. Therefore the series LC circuit, when connected in series with a load, will act as a band-pass filter having zero impedance at the resonant frequency of the LC circuit.
Since =, where I is the current, the equation can be rewritten as =, where = is called the inductance. [2] Since the electrical reactance of an inductor X = ω L = 2 π f L {\displaystyle X=\omega L=2\pi fL} , where f is the AC frequency , X = ω Ψ I {\displaystyle X=\omega {\frac {\Psi }{I}}} .
The use of the two types in parallel makes the inductor feed the capacitor, and vice versa, maintaining the same resonant current in the circuit, and converting all the current into useful work. Since the inductive reactance and the capacitive reactance are of equal magnitude,