关于电学基础课程物理量的量纲与单位的讨论

Discussion on the Dimension and Unit of Physical Quantities in the Basic Course of Electricity

本文从“量”的等式观点出发,阐述了电学基础课程相关物理量的量纲与单位问题,包括将已知量代入方程的方法,导出量纲与导出单位,标准函数的量纲等。特别指出,单位冲激函数的量纲是倒时间量纲,单位阶跃特性s(t)与单位冲激特性h(t)都是响应与激励量值的某种比值,它们都不具有电压或电流的量纲,不是普通意义上的响应。唯此,卷积积分公式的量纲才能平衡。本文目的是激发广大教师在课程教学中努力探索量纲问题的积极性。

From the point of view of quantity equations,this article describes the dimensions and units of physical quantities related to basic electrical courses,which include the method of substituting known quantities into equations,derived dimensions and derived units,the dimensions of standard functions,etc.It is particularly emphasized that the dimension of the unit impulse function is the reciprocal time dimension.The unit step characteristic s(t)and the unit impulse characteristic h(t)are the ratio of the response to the excitation value.They do not have dimensions of both voltage and current.They are not the responses in the ordinary sense.Only in this way can the dimensions of the convolution integral formula be balanced.The purpose of this article is to promote the enthusiasm of teachers to explore the dimension issues in the course teaching.