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在一般情况下,用探测元件(霍耳元件或探测线圈)测得的磁场强度都是该元件所占空间的平均值。对于非均匀磁场,这种测量误差较大。有人曾使用一种特定形状的探测线圈,证明其测得值可对应于线圈几何中心点处的场强,但不足之处是只考虑了非均匀磁场强度级数表达式中的二次项。本文进一步从拉普拉斯方程出发,经过较严格的计算,得出通过探测线圈的磁通量表达式,由此可求得能测量空间一点磁场强度且精确到表达式更高阶项的探测线圈尺寸。
In general, the strength of the magnetic field measured with the detection element (Hall element or detection coil) is the average of the space occupied by the element. For non-uniform magnetic field, this measurement error is larger. One type of probe coil was used to prove that its measured value corresponded to the field strength at the geometric center of the coil, but the disadvantage was that only quadratic terms in the expression of non-uniform magnetic field strength were taken into account. In this paper, we proceed from the Laplace equation further, through more rigorous calculations, we can get the magnetic flux of the coil by detecting the coil, which can be measured to obtain a little magnetic field strength and accurate to the higher order expression of the detection coil size .