RL Step Response Under a DC Source

An RL circuit connected to a DC source has a step response that changes over time. The response has two parts: the transient response and the steady-state response. The transient response is the short-lived reaction that happens right after the source is applied.

During the transient phase, the c...

当RL电路连接到直流电源时，其完整响应可分为暂态响应和稳态响应。

瞬态响应是电路的暂时性响应，随着时间趋于无穷大，该响应呈指数衰减至零。

此时电感相当于短路，电源电压全部降落在电阻上。

此时，电路中的电流达到稳定状态，其值等于电源电压与电阻的比值。这就是稳态响应。

将稳态响应和瞬态响应代入，可得到RL电路的总响应。

通过将电感器在时间为零时的初始电流代入，可确定常数项。

完整的阶跃响应以图形表示，显示初始电流呈指数衰减至稳态值。

如果初始电流为零，完整的阶跃响应将显示电流呈指数增长至稳态值。

电压响应以等于电源电压的初始电压呈指数衰减至零。