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。

Magnetic Field of Toroid

环形磁铁的磁场

Finding the magnetic field inside a toroid is a good example of the power of Ampere's law. The current enclosed by the dashed line is just the number of loops times the current in each loop. Amperes law then gives the magnetic field by

寻找通过环形线圈内部的磁场是一个很好的例子，展示了安培定律的威力。虚线所包围的电流仅仅是每圈电流乘以圈数。安培定律则给出了磁场的表达式。

The toroid is a useful device used in everything from tape heads to tokamaks.

环形磁体是一种有用的设备，广泛应用于从磁带头到托卡马克装置的各个领域。
Toroid section detail
环形截面细节
Magnetic field calculation
磁场计算
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Magnetic field concepts
磁感应强度概念
 
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Magnetic Field of Toroid

环形磁铁的磁场

Finding the magnetic field inside a toroid is a good example of the power of Ampere's law. The current enclosed by the dashed line is just the number of loops times the current in each loop. Amperes law then gives the magnetic field by

寻找通过环形线圈内部的磁场是一个很好的例子，展示了安培定律的威力。虚线所包围的电流仅仅是每圈电流乘以圈数。安培定律则给出了磁场的表达式。

The toroid is a useful device used in everything from tape heads to tokamaks.

环形磁体是一种有用的设备，广泛应用于从磁带头到托卡马克装置的各个领域。
Magnetic field = permeability x turn density x current

For a solenoid of radius r = m with N = turns,
the turn density is n=N/(2πr)= turns/m.

对于半径为 r = m 的线圈，其匝密度为 n = N/(2πr) = turns/m。
中文译文中的待填/计算数值依次对应：1：l 2：n 3：nl。实际数值以上方原输入框为准。

If the current in the solenoid is I = amperes

若螺线管中的电流为 I = 安培
中文译文中的待填/计算数值依次对应：1：i。实际数值以上方原输入框为准。

and the relative permeability of the core is k = ,

以及磁芯的相对磁导率是 k = ,
中文译文中的待填/计算数值依次对应：1：k。实际数值以上方原输入框为准。

then the magnetic field at the center of the solenoid is

则螺线管中心的磁场是

B = Tesla = gauss.

B = 特斯拉 = 高斯。
中文译文中的待填/计算数值依次对应：1：b 2：bg。实际数值以上方原输入框为准。

The Earth's magnetic field is about half a gauss.

地球的磁场约为半高斯。

The relative permeability of magnetic iron is around 200.

磁铁的相对磁导率约为200。

Enter data, then click on the quantity you wish to calculate in the active formula above the illustration. Default values will be entered for unspecified parameters, but the numbers will not be forced to be consistent until you click on the quantity to calculate.

输入数据，然后在示意图上方的交互式公式中点击您希望计算的量。未指定参数将输入默认值，但直到您点击要计算的量之前，数值不会被强制保持一致。
Toroid section detail
环形截面细节
Toroid magnetic field
环形磁铁磁场
磁场 = 磁导率 × 匝密度 × 电流
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Magnetic field concepts
磁感应强度概念
 
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Toroid Detail

环形磁体细节

All of the loops of wire which make up a toroid contribute magnetic field in the same direction inside the toroid. The sense of the magnetic field is that given by the right hand rule, and a more detailed visualization of the field of each loop can be obtained by examining the field of a single current loop.

构成环形磁铁的所有线圈都对内部的磁场贡献方向一致的磁场。磁场的方向由右手法则确定，通过分析单个电流线圈的磁场可以更详细地可视化每个线圈的磁场。
Toroid magnetic field
环形磁铁磁场
Field calculation
场计算
 Index

Magnetic field concepts
磁感应强度概念
 
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