Telegrapher’s equations that account for the speed and acceleration of a current and voltage were derived using a modified Ohm’s law formula that includes relaxation components. Examining the exact analytical solutions to these equations allowed us to conclude that abrupt changes in the target functions observed in solutions to classic telegrapher’s equations were eliminated, which indicates the elimination of the infinite propagation speed of electric field potentials inherent in the classic Ohm’s law formula. Analysis of the analytical solutions showed the impossibility of instant current (voltage) adoption at the edges of the conductor at the initial time instant, as the process of establishing these edges requires a definite initial time interval. This serves as evidence that it is physically impossible to instantly set a boundary condition in an actual electric conductivity process.

说明电流和电压的速度和加速度的 Telegrapher 方程是使用包含弛豫分量的修改后的欧姆定律公式推导出来的。通过检查这些方程的精确解析解，我们可以得出结论，在经典电报方程的解中观察到的目标函数的突然变化被消除了，这表明消除了经典欧姆定律公式中固有的电场势的无限传播速度。解析解的分析表明，在初始时刻在导体边缘不可能采用瞬时电流（电压），因为建立这些边缘的过程需要一个确定的初始时间间隔。