The paper focuses on applying the algebra of octonions to explore the influence of electric-charge gradients on the electric-current derivatives, revealing some of major influence factors of high pulse electric-currents. J. C. Maxwell was the first scholar to utilize the algebra of quaternions to study the physical properties of electromagnetic fields. The contemporary scholars employ simultaneously the quaternions and octonions to investigate the physical properties of electromagnetic fields, including the octonion field strength, field source, linear momentum, angular momentum, torque, and force and so forth. When the octonion force is equal to zero, it is able to achieve eight equations independent of each other, including the fluid continuity equation, current continuity equation, force equilibrium equation, and second-force equilibrium equation and so on. One of inferences derived from the second-force equilibrium equation is that the charge gradient and current derivative are interrelated closely, two of them must satisfy the need of the second-force equilibrium equation synchronously. Meanwhile the electromagnetic strength and linear momentum both may exert an influence on the current derivative to a certain extent. The above states that the charge gradient and current derivative are two correlative physical quantities, they must meet the requirement of second-force equilibrium equation. By means of controlling the charge gradients and other physical quantities, it is capable of restricting the development process of current derivatives, reducing the damage caused by the instantaneous impact of high pulse electric-currents, enhancing the anti-interference ability of electronic equipments to resist the high pulse electric-currents and their current derivatives. Further the second-force equilibrium equation is able to explain two types of superconducting currents.

本文着重于应用八元代数来探讨电荷梯度对电流导数的影响，揭示了高脉冲电流的一些主要影响因素。麦克斯韦（JC Maxwell）是第一位利用四元数代数研究电磁场物理性质的学者。当代学者同时采用四元数和八元数来研究电磁场的物理性质，包括八元数场强，场源，线性动量，角动量，转矩和力等。当大张力等于零时，可以实现八个相互独立的方程，包括流体连续性方程，电流连续性方程，力平衡方程，以及第二力平衡方程等。从第二力平衡方程得出的推论之一是电荷梯度和电流导数紧密相关，其中两个必须同步满足第二力平衡方程的需要。同时，电磁强度和线性动量都可能在一定程度上影响电流导数。上面指出，电荷梯度和电流导数是两个相关的物理量，它们必须满足第二力平衡方程的要求。通过控制电荷梯度和其他物理量，它可以限制电流导数的生成过程，减少由于高脉冲电流的瞬时冲击而造成的损害，增强电子设备抵抗高脉冲电流及其电流衍生物的抗干扰能力。此外，第二力平衡方程能够解释两种类型的超导电流。