Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版：英文原文完整保留，中文紧随对应单元；术语采用 v20260916 确认表，自动语义审校结果可追溯。

Thevenin's Theorem

瑟瓦定理

Any combination of batteries and resistances with two terminals can be replaced by a single voltage source e and a single series resistor r. The value of e is the open circuit voltage at the terminals, and the value of r is e divided by the current with the terminals short circuited.

任何由电池和电阻组成的具有两个端点的组合都可以用一个电压源e和一个串联电阻r代替。e的值是端点的开路电压，r的值是e除以端点短路时的电流。

Thevenin voltage
诺顿电压
Thevenin resistance
Thévenin电阻
Numerical example
数值例子
Norton equivalent
诺顿等效电路
to AC Version
升级到AC版本
Application in Digital to Analog Converter
在数字到模拟转换器中的应用
 Index

DC Circuits
索引：直流电路
 
HyperPhysics***** Electricity and Magnetism
HyperPhysics ***** 电学和磁学
R Nave
 Go Back
返回






Thevenin Voltage

Thevenin电压

The Thevenin voltage e used in Thevenin's Theorem is an ideal voltage source equal to the open circuit voltage at the terminals. In the example below, the resistance R2 does not affect this voltage and the resistances R1 and R3 form a voltage divider, giving

Thevenin电压e用于Thevenin定理中是一个理想的电压源，等于端子处的开路电压。在下面的例子中，电阻R2不影响这个电压，而电阻R1和R3组成一个电压 divider，从而给出

Thevenin resistance
Thévenin电阻
Numerical example
数值例子
Norton equivalent
诺顿等效电路
 Index

DC Circuits
索引：直流电路
 
HyperPhysics***** Electricity and Magnetism
HyperPhysics ***** 电学和磁学
R Nave
 Go Back
返回






Thevenin/Norton Resistance

Thevenin/Norton电阻
The Thevenin resistance r used in Thevenin's Theorem is the resistance measured at terminals AB with all voltage sources replaced by short circuits and all current sources replaced by open circuits. It can also be calculated by dividing the open circuit voltage by the short circuit current at AB, but the previous method is usually preferable and gives
The same resistance is used in the Norton equivalent.


Thevenin voltage
诺顿电压
Numerical example
数值例子
Norton equivalent
诺顿等效电路
Thevenin电阻r用于Thevenin定理中，是测量AB端口时将所有电压源替换为短路、所有电流源替换为开路后的电阻。它也可以通过将AB端口的开路电压除以短路电流来计算，但前一种方法通常更可取，并得到相同的电阻，该电阻也用于Norton等效电路。
 Index

DC Circuits
索引：直流电路
 
HyperPhysics***** Electricity and Magnetism
HyperPhysics ***** 电学和磁学
R Nave
 Go Back
返回






Thevenin Example

Thevenin示例

Replacing a network by its Thevenin equivalent can simplify the analysis of a complex circuit. In this example, the Thevenin voltage is just the output of the voltage divider formed by R1 and R3. The Thevenin resistance is the resistance looking back from AB with V1 replaced by a short circuit.

For R1 =Ω, R2
对于 R 1 = Ω，R 2
中文译文中的待填/计算数值依次对应：1：r1。实际数值以上方原输入框为准。
 = Ω, R3 =Ω,

and voltage V1 = V
并且电压 V₁ = V
中文译文中的待填/计算数值依次对应：1：v1。实际数值以上方原输入框为准。

the Thevenin voltage is
Thevenin 电压是
 V
since R1 and R3 form a simple voltage divider.
由于R1和R3构成一个简单的电压分压器。

The Thevenin resistance is
Thevenin 电阻是
 = Ω.
Apply to two-loop problem
应用于双环问题
AC example
交流电示例
Norton equivalent
诺顿等效电路
将网络替换为其Thevenin等效电路可以简化复杂电路的分析。在这个例子中，Thevenin电压仅仅是由R1和R3组成的分压器的输出。Thevenin电阻是将V1替换为短路后从AB看回的电阻。
中文译文中的待填/计算数值依次对应：1：r2 2：r3 3：et 4：rt。实际数值以上方原输入框为准。
 Index

DC Circuits
索引：直流电路
 
HyperPhysics***** Electricity and Magnetism
HyperPhysics ***** 电学和磁学
R Nave
 Go Back
返回