In the study of alternating current (AC) circuits and semiconductor (amplifier) circuits, where sometimes AC is often mixed (superimposed) with DC, the Superposition Theorem finds its use. These superimposed figures can also be applied to the circuit: The answer will still be the same even when calculated from the final voltage drops and respective resistance (I=E/R). The end result will look something like the one below after applying the superimposed voltage figures to the circuit:Ĭurrents can also be added algebraically and can either be superimposed as done with the resistor voltage drops. The values have to be added algebraically. We have to be very careful in considering polarity (voltage drop) and direction (electron flow) when superimposing these values of voltage and current. The following values for voltage and current are obtained after analyzing the circuit with only the 28V battery:Īnother set of values for voltage and current is obtained by analyzing the circuit with only the 7V battery: …and one for the circuit with only the 7V battery in effectĪll other voltage sources are replaced by wires (shorts) and all current sources with open circuits (breaks) when re-drawing the circuit for series/parallel analysis with one source. Two sets of values for voltage drops and/or currents have to be calculated since we have two sources of power in this circuit, one for the circuit with only the 28V battery in effect… The values are all superimposed on top of each other to find the actual voltage drops/currents with all sources active once voltage drops and/or currents have been determined for each power source working separately. The strategy used in the Superposition Theorem is to eliminate all but one source of power within a network at a time, using series/.parallel analysis to determine voltage drops within the modified network for each power source separately. In other words, for linear circuits with multiple independent sources, we can analyze the response of the circuit by decomposing the input into a number of individual components, determining the circuit’s response to each component of the input, and then obtain the overall response of the circuit by summing, or superimposing, the contributions from each input. The principle of superposition states that the response at any point in a linear circuit having more than one independent source can be obtained as the sum of the responses caused by each independent source acting alone. The principle is very basic but becomes difficult to analyze because of the non-applicability of superposition to non-linear circuits. We can consider the most important consequence of linearity, the principle of superposition. All the circuits that we have analyzed are linear circuits and we must be more specific in defining a linear circuit.
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