摘要
用Mathematica杰出的符号运算能力和卓越的数字绘图功能,研究载流共轴圆线圈组磁感线分布图的绘制方法.先将磁矢势珤A和磁感应强度珝B="×珤A的计算式表达为椭圆积分,然后根据磁感应强度的空间分布合理确定磁感线方程|x|A(|x|,z)=c的数集{c},绘制出符合物理要求的磁感线的分布图.与此同时,指出了现有文献中磁感线分布图存在缺陷和相互矛盾的原因.
The method of drawing the magnetic lines from current carrying coaxial circular coil sets is studied by using Mathematica′s outstanding symbolic computing power and excellent digital graphics capabilities.The calculation formula of the magnetic vector potential珤Aand the magnetic induction intensity珝B ='×珤Aare expressed as the elliptic integral.The number sets{c}of the magnetic induction line equation|x|A(|x|,z)=c is reasonably determined according to the spatial distribution of magnetic induction intensity,and then the distributions of magnetic induction lines conforming to physical requirements are plotted.At the same time,the reason of the existing defects and conflicting from the magnetic induction line maps in the existing literature is pointed out.
出处
《广东第二师范学院学报》
2017年第5期59-65,共7页
Journal of Guangdong University of Education
基金
广东省高等学校物理专业综合改革试点项目(9010-15281)
关键词
同轴圆线圈组
磁矢势
磁感线
椭圆积分
MATHEMATICA
coaxial circular coil set
magnetic vector potential
magnetic induction line
elliptic integral
Mathematica
