Franclim F. Ferreira, Pedro Guedes de Oliveira, Vítor G. Tavares

Source absorption theorem

The source absorption theorem has two dual forms: the voltage source absorption and the current source absorption theorems.

The voltage source absorption theorem establishes that if, in one branch of the circuit with current I, there is a voltage source controlled by I, the source can be replaced by a simple impedance with value equal to the source controlling factor.

The demonstration is trivial. An impedance Z where a current I flows originates the same voltage drop the I source generates at its terminals.

The current source absorption theorem establishes that if, in one branch of the circuit there is a voltage source submitted to a voltage V and controlled by it, the source can be replaced by a simple admittance with value equal to the source controlling factor.

The demonstration is again trivial. An admittance Y submitted to a voltage V imposes the same current that the source YV provides.