密绕椭圆截面螺线管电流的磁场分布

Magnetic field distribution induced by current through close-wound oval-shaped spiral tube current

利用叠加原理和数值计算方法,求解密绕椭圆截面螺线管电流的磁场,分析磁场与长短轴之比、螺线管长短的变化关系.计算结果表明,长短轴之比越大,螺线管越短,磁场在垂直于螺线管轴线方向的分量越大,螺线管内匀强磁场的区域越小,但当长短轴比接近于1或螺线管较长时,磁场与密绕圆截面螺线管的磁场相似,螺线管内匀强磁场的区域较大,只在螺线管端口是非均匀磁场.

The principle of superposition and numerical computation was adopted to obtain the solution of the magnetic field induced by the current through a close-wound oval-shaped spiral tube, and analyze the relationship of field intensity to the ratio of length axes to short axes of the oval contour and the length of the solenoid. The computation result showed that the bigger the ratio and the shorter of the solenoid as well, the stronger the radial component of magnetic field would be and the area of equi-magnetic field would be smaller within the tube. But, when the ratio was close to unity or the solenoid was longer, the magnetic field would be similar to that of the tube with circular section contour and the area of equi-magnetic field would be bigger. Non-uniformity of the field took place only near the tube ends.