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Capacitive current Ic = Q/E = 1523/440 = 3.46 A Capacitive reactance per phase Xc = E/Ic = 127 Ω. Minimum capacitance per phase: C = 1 / (2*π*f*Xc) = 1 / (2 * 3.141 * 60 * 127) = 21 μF. If the load also absorbs reactive power, capacitor bank must be increased in size to compensate. Prime mover speed should be used to generate frequency of 60 Hz:
And for typical transmission lines, that are carefully built from wire with low loss resistance and small insulation leakage conductance ; further, used for high frequencies, the inductive reactance and the capacitive admittance will both be large, so the constant is very close to being a real number: .
Most impedance analyzers come with a reactance chart [5] which shows the reactance values for capacitive reactance X C and inductive reactance X L for a given frequency. The accuracy of the instrument is transposed on the chart to allow the user to quickly see what accuracy they can expect for a given frequency and reactance.
In all inductors, the parasitic capacitance will resonate with the inductance at some high frequency to make the inductor self-resonant; this is called the self-resonant frequency. Above this frequency, the inductor actually has capacitive reactance. The capacitance of the load circuit attached to the output of op amps can reduce their bandwidth.
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, = , so
The Q of a capacitor with a series loss resistance is the same as the Q of a resonant circuit using that capacitor with a perfect inductor: [23] = = where: ω 0 is the resonance frequency in radians per second; C is the capacitance; X C is the capacitive reactance; and
Capacitance is the ability of an object to store electric charge. It is measured by the charge in response to a difference in electric potential, expressed as the ratio of those quantities. Commonly recognized are two closely related notions of capacitance: self capacitance and mutual capacitance.
The Smith chart (sometimes also called Smith diagram, Mizuhashi chart (水橋チャート), Mizuhashi–Smith chart (水橋スミスチャート), [1] [2] [3] Volpert–Smith chart (Диаграмма Вольперта—Смита) [4] [5] or Mizuhashi–Volpert–Smith chart), is a graphical calculator or nomogram designed for electrical and electronics engineers specializing in radio ...