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Theoretical foundations of electrical engineering

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) = xfr(t) + xcm

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

xfr(t) — is defined as xfr=A·ept

xcm — 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·ep·t + xcm

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

General form of the transient process of the first order

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