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Leading and lagging current
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Leading and lagging current : ウィキペディア英語版
Leading and lagging current

There are three options in a circuit for current. It can be leading, lagging, or in phase with voltage. These can all be seen when one maps current and voltage of alternating (AC) circuits against time. The only time that the voltage and current are in phase together is when the load is resistive. If at some point in the phase shift the current leads the voltage by more than 90 degrees, it can then be stated that the current lags that voltage by 180 degrees minus the phase shift. Ninety degrees phase shift is the determining point if the current is either leading or lagging the voltage.〔Gilmore, Besser p. 19〕
Each of the main components of a circuit (resistor, capacitor, and inductor) can be seen as an impedance. All of them produce resistance in either fractional or exponential ways. Here are their complex number forms:
* Resistor, R = R〔Bowick, Blyler, Ajluni 2008, pg. 25〕
* Capacitor, Zc = 〔Bowick, Blyler, Ajluni 2008, pg. 25〕
* Inductor, Zl = 〔Bowick, Blyler, Ajluni 2008, pg. 25〕
* ω=〔Bowick, Blyler, Ajluni 2008, pg. 25〕
==Angle notation==
Angle notation can easily determine leading and lagging current:
 A \ang \theta.〔Nilsson p. 338〕
In this equation, the value of theta is the important factor for leading and lagging current. Using complex numbers is a way to simplify analyzing certain components in RLC circuits. It is also one of the quickest ways to notice right away if the current is leading or lagging in the circuit. For example, it is very easy to convert these between polar and rectangular coordinates. Starting from the polar notation,  \ang \theta can represent either the vector  (\cos \theta, \sin \theta)\,  or the rectangular notation  \cos \theta + j \sin \theta = e^,\,  both of which have magnitudes of 1.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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