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。

Norton's Theorem

诺顿定理

Any collection of batteries and resistances with two terminals is electrically equivalent to an ideal current source i in parallel with a single resistor r. The value of r is the same as that in the Thevenin equivalent and the current i can be found by dividing the open circuit voltage by r.

任何具有两个端点的电池和电阻的组合在电气上等效于一个理想电流源i与一个电阻r并联。r的值与Thevenin等效电路中的相同,电流i可以通过开路电压除以r来计算。

Norton current
诺顿电流
Norton resistance
诺顿电阻
Numerical example
数值例子
Thevenin equivalent
戴维南等效电路
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索引:直流电路
 
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Norton Current

诺顿电流

The value i for the current used in Norton's Theorem is found by determining the open circuit voltage at the terminals AB and dividing it by the Norton resistance r.

用于诺顿定理的电流值i是通过确定AB端口的开路电压并将其除以诺顿电阻r来确定的。

Norton resistance
诺顿电阻
Numerical example
数值例子
Thevenin equivalent
戴维南等效电路
Index

DC Circuits
索引:直流电路
 
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Norton Example

诺顿示例

Replacing a network by its Norton equivalent can simplify the analysis of a complex circuit. In this example, the Norton current is obtained from the open circuit voltage (the Thevenin voltage) divided by the resistance r. This resistance is the same as the Thevenin resistance, the resistance looking back from AB with V1 replaced by a short circuit.

For R1 = Ω, R2 = Ω, R3 = Ω,
对于 R 1 = Ω,R 2 = Ω,R 3 = Ω,
中文译文中的待填/计算数值依次对应:1:r1 2:r2 3:r3。实际数值以上方原输入框为准。

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 open circuit voltage is
开路电压是
= 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 Norton resistance is
诺顿电阻是
= Ω.
and the resulting Norton current is
并由此产生的诺顿电流是
= A
Apply to two-loop problem
应用于双环问题
Thevenin equivalent
戴维南等效电路
将网络替换为其诺顿等效电路可以简化复杂电路的分析。在这个例子中,诺顿电流是通过开路电压(即诺顿电压)除以电阻 r 得到的。这个电阻与诺顿电阻相同,即从 AB 看向的电阻,当 V 1 用短路代替时的电阻。
中文译文中的待填/计算数值依次对应:1:et 2:rt 3:ni。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
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