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單一參數(shù)正弦交流R、L、C（電阻/電感/電容）穩(wěn)態(tài)電路

Single parameter sinusoidal AC R, l, C (resistance / inductance / capacitance) steady state circuit

文章目錄

Article directory

電阻元件的交流電路

AC circuit of resistance element

電感元件的交流電路

AC circuit of inductive element

電容元件的交流電路

AC circuit of capacitor

在正弦穩(wěn)態(tài)交流電路中，各種電氣設(shè)備的模型可用電阻R、電感L、電容C以及它們的各種組合方式來(lái)表示。如白熾燈可視為純電阻，日光燈是由電阻和電感串聯(lián)組成的。為了研究交流穩(wěn)態(tài)電路中電流、電壓、功率等問(wèn)題，首先分析R、L、C這三種參數(shù)單獨(dú)在正弦交流電路中的電壓、電流、功率，為以后分析三種參數(shù)共同作用下的交流電路打下基礎(chǔ)。ZR-JEFR開(kāi)關(guān)柜電纜 抽屜電纜

In the sinusoidal steady-state AC circuit, the models of various electrical equipment can be represented by resistance R, inductance L, capacitance C and their various combinations. For example, incandescent lamp can be regarded as pure resistance, fluorescent lamp is composed of resistance and inductance in series. In order to study the problems of current, voltage and power in the AC steady-state circuit, the voltage, current and power of the three parameters R, l and C in the sinusoidal AC circuit are analyzed first, which lays the foundation for the analysis of the AC circuit under the joint action of the three parameters in the future.

電阻元件的交流電路

AC circuit of resistance element

如下圖所示的交流電路中，認(rèn)為電阻R是理想線性電阻，其電流、電壓的參考方向已標(biāo)注在圖中。

In the AC circuit as shown in the figure below, resistance R is considered to be an ideal linear resistance, and the reference direction of current and voltage has been marked in the figure.

電阻元件的交流電路

AC circuit of resistance element

電流與電壓的關(guān)系

Relationship between current and voltage

當(dāng)加在電阻兩端的電壓為u=Umsinωt=U√2 sinωt時(shí)，并以它為參考量，則電阻上流過(guò)的電流為：

When the voltage applied at both ends of the resistance is u = umsin ω t = u √ 2Sin ω T, and it is taken as the reference quantity, the current flowing through the resistance is:

公式

formula

由上式可見(jiàn)，電阻上電流與電壓的關(guān)系為：

It can be seen from the above formula that the relationship between current and voltage on the resistance is:

電流與電壓是同頻率的正弦量；

Current and voltage are sinusoids of the same frequency;

電流與電壓的大小關(guān)系為：公式

The relationship between current and voltage is: Formula

相位相等，即φi=φu

Phase is equal, i.e. φ I = φ u

電流與電壓的波形見(jiàn)上圖b。用相量法表示電流、電壓之間的關(guān)系為：

See Figure B above for the waveform of current and voltage. The relationship between current and voltage expressed by phasor method is as follows:

公式

formula

相量圖如上圖c所示。上式也是交流電阻電路歐姆定律的相量形式。

The phasor diagram is shown in Figure C above. The above formula is also the phasor form of Ohm's law of AC resistance circuit.