![]() ![]() ![]() Then, based superposition theorem I = I1 + I2 + I3. Therefore, according the superposition theorem, the voltage across the load is the sum of V L1 and V L2Ĭonsider the below circuit to which we are going to determine the current I through the 4 ohm resistor using superposition theorem.Ĭonsider I1, I2 and I3 are the currents due to sources 12v, 20V and 4A sources respectively. Retain the current source alone and replace the voltage source with its internal resistance (zero) so it becomes a short circuited as shown in figure.Ĭonsider that V L2 is the voltage across the load terminals when current source acting alone. First, we retain one source at a time that means, only voltage source is acting in the circuit and the current source is replaced with internal resistance (infinite) so it becomes open circuited as shown in figure.Ĭonsider V L1 is the voltage across the load terminals with voltage source acting alone, thenģ. Consider that in a given circuit there are two independent sources as voltage and current sources as shown in figure.Ģ. Let us consider the below simple DC circuit to apply the superposition theorem such that we will obtain the voltage across the resistance 10 Ohms (load terminals). Algebraically add all the voltages/currents that are obtained from each individual source (Consider the voltage signs and current directions while adding).ġ. Repeat the steps 2 to 4 for each independent source in the given circuit.Ħ. Find out the desired voltage/currents due to the one source acting alone using various circuit reduction techniques.ĥ. To avoid confusion re-label the voltage and current notations suitably.Ĥ. Select and retain one of the independent sources and replace all other sources with their internal resistances or else replace the current sources with open circuits and voltage sources with short circuits.ģ. Consider the various independent sources in a given circuit.Ģ. Therefore, this require more work however, this theorem will be very useful in analysing the various parts of a complex circuit.īack to top Steps to Analyse Superposition Theoremġ. And finally these individual results must be added to get the whole analysis of the circuit. Therefore, if the circuit consists of N independent sources, we have to analyse N circuits, each will produce a result with respect to each individual source. We know that as long as the linearity exists between the source and contribution, the total contribution due to various sources acting simultaneously is equal to the algebraic sum of individual contributions due to individual source acting at a time. The superposition theorem states that in any linear bilateral network that consisting of two or more independent sources, current through (or voltage across) an element is the algebraic sum of the currents through (voltages across) that element caused by each independent source acting alone with all other sources are replaced by their internal resistances. Even though it is of complex procedure, but still can be applied for any linear circuit.īack to top Superposition Theorem Statement This means superposition theorem considers the each source in a given circuit separately for finding the value of the variable (whether current or voltage) and finally produce the resultant variable by adding all the variables caused by each source effect. If a linear DC circuit has more than one independent source, we can find the current (through a resistance) and voltage (across the resistance) by using nodal or mesh analysis methods.Īlternatively, we can use the superposition theorem that adds each individual source effect on the value of the variable to be determined. Superposition Example Using AC Circuit:įor analysing the linear electric circuits that consists of two or more independent sources (Voltage or current or both), superposition theorem is extremely used (particularly for time domain circuits with elements operated at different frequencies). ![]()
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