# Solving problems in electrical engineering - General form of the transient process of the first order

General form of the transient process of the first order:

x(t) = x_{fr}(t) + x_{cm}

In this formula, x_{fr}(t) is a free component caused by currents and voltages during the transient process.

x_{fr}(t) — is defined as x_{fr}=A·e^{pt}

x_{cm} — compulsory component of the transient process, in fact, is the value of the desired current or voltage at full completion of the transient process.

Thus the voltage or current for the transient process of the first order are found in the form of:

x(t) = A·e^{p·t} + x_{cm}

The example of current and voltage dependences in the transient process of the first order is shown below: