Magnetic Field of Current Loop

电流环的磁场

Examining the direction of the magnetic field produced by a current-carrying segment of wire shows that all parts of the loop contribute magnetic field in the same direction inside the loop.

考察电流元产生的磁场方向可知，环形回路内所有部分产生的磁场方向均相同。

Electric current in a circular loop creates a magnetic field which is more concentrated in the center of the loop than outside the loop. Stacking multiple loops concentrates the field even more into what is called a solenoid.

电流在圆环中产生磁场，该磁场在环心区域比环外更集中。将多个环堆叠起来，可以使磁场更加集中，这种结构被称为螺线管。

Field at center

磁场在中心处的场强

Field on axis

轴上的场

Index

Magnetic field concepts

Currents as magnetic sources

索引磁场概念电流作为磁场源

HyperPhysics***** Electricity and Magnetism

HyperPhysics ***** 电学和磁学

R Nave

Go Back

Field at Center of Current Loop

电流回路中心的磁场

The form of the magnetic field from a current element in the Biot-Savart law becomes

毕奥-萨伐尔定律中电流元所产生的磁场形式为

which in this case simplifies greatly because the angle =90 ° for all points along the path and the distance to the field point is constant. The integral becomes

在这种情况下，积分大大简化了，因为路径上所有点的夹角均为90°，且到场点的距离保持不变。积分变为

For a current I = Amperes and

对于电流 I = 安培斯和

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。

loop radius

环半径

= m, the magnetic field at the center of the loop is

= m，环形线圈中心处的磁场是

中文译文中的待填/计算数值依次对应：1：r。实际数值以上方原输入框为准。

B = x 10^ Tesla = Gauss.

B = 10^x Tesla = Gauss。

中文译文中的待填/计算数值依次对应：1：bt 2：btp 3：bg。实际数值以上方原输入框为准。

At a distance z = m out along the centerline of the loop, the axial magnetic field is

在环形线圈中心轴线上距离为 z = m 处，轴向磁场为

中文译文中的待填/计算数值依次对应：1：z。实际数值以上方原输入框为准。

B = x 10^ Tesla = Gauss.

B = 10^x Tesla = Gauss。

中文译文中的待填/计算数值依次对应：1：bt2 2：bt2p 3：bg2。实际数值以上方原输入框为准。

The current used in the calculation above is the total current, so for a coil of N turns, the current used is Ni where i is the current supplied to the coil.

上述计算中使用的电流是总电流，因此对于有N匝的线圈，使用的电流为Ni，其中i是供给线圈的电流。

The Earth's magnetic field at the surface is about 0.5 Gauss.

地球表面的磁场约为0.5高斯。

Discussion of current loop

电流环的讨论

Index

Magnetic field concepts

Currents as magnetic sources

索引磁场概念电流作为磁场源

HyperPhysics***** Electricity and Magnetism

HyperPhysics ***** 电学和磁学

R Nave

Go Back

Field on Axis of Current Loop

电流环轴线上磁场

Show geometric details

显示几何细节

The application of the Biot-Savart law on the centerline of a current loop involves integrating the z-component.

将毕奥-萨伐尔定律应用于电流环的中心线时，需要对z分量进行积分。

The symmetry is such that all the terms in this element are constant except the distance element dL , which when integrated just gives the circumference of the circle. The magnetic field is then

这种对称性使得该元素中的所有项都是常数，除了距离元素dL，当积分时仅仅给出圆的周长。因此磁场是