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导数(Derivative)就是一个量对另一个量的变化率,是微积分中的重要基础概念。当自变量的增量趋于零时,因变量的增量与自变量的增量之商的极限。在一个函数存在导数时,称这个函数可导或者可微分。高中物理中有很多的物理概念和原理都运用了求导、微积分的思想。例如物体的位移对时间的导数为速度,速度对时间的导数为加速度,电量对时间的导数为电流强度,功对时间的导数等于功率,磁通量对时间的导数的相反数是感应电动势,在场强方向上电势对位移的导数等于电场强度等等。本文就求导和微积分在电磁感应中的应用为例与读者一起探讨。
Derivative is the rate of change of one quantity to another and is an important fundamental concept in calculus. When the increment of the argument tends to zero, the quotient of the increment of the dependent variable and the increment of the independent variable is the limit. When a function has a derivative, it is said that this function can be derivative or differentiable. There are many physical concepts and principles in high school physics that use the idea of derivation and calculus. For example, the displacement of the object to the time of the speed of the derivative of the speed of time as acceleration, the power of the time derivative of the current intensity, the power of the time derivative is equal to the power, the magnetic flux of the derivative of the time the number of induced electromotive force, The strong direction of the potential on the displacement of the derivative is equal to the electric field strength and so on. This article on the derivation and calculus in the application of electromagnetic induction as an example to explore with the reader.