![]() In this circuit, there is a 12 V voltage source and 25mA current source.įigure 2: Identifying the sources of the network Step 2: Isolate a single source. Steps For Using Superposition Theorem Step 1 : Identify all the voltage and current sources in the network. To understand this concept, we will divide the superposition theorem into 6 steps and use it to analyze and calculate the total resistor voltage and current of a simple two-source linear DC Network shown in Figure 1. This means, when a circuit involves multiple voltage and current sources, you treat each source as an independent source and calculate the voltage and current that the sources have on the circuit and then combine the voltages or currents together. Superposition theorem states that the current that flows at any point in a circuit, or the potential difference between any two points in a circuit, resulting from more than one source of voltage connected in the circuit, is the algebraic sum of the separate currents or voltages at these points. It is important to note, that the superposition theorem can only be used for linear circuits, if there are non-linear components such as capacitors or inductors, the superposition theorem cannot be used. ![]() ![]() Superposition theorem can be used when trying to analyze a linear circuit with multiple voltage and current sources. In this blog, we will be discussing Superposition Theorem. Therefore, it is important for you to learn other network theorems and recognize when to apply them. All images and diagrams courtesy of yours truly.Kirchhoff’s voltage law can be used to analyze any electric circuit but when dealing with complex circuits, using Kirchhoff's voltage laws can be difficult.Let's take a look at an example problem using the Superposition Theorem:Ĭontinue on to Superposition example #1. The exception to this would be a situation where all of the sources are operating at the same frequency (in which case the individual responses could be summed in phasor form.) The total response is then obtained by adding the individual responses in the TIME-DOMAIN.Īdding individual responses in the frequency/phasor domain is wrong!!! Remember that the frequency factor (e^jwt) is implicit in sinusoidal analysis and this factor will change for every angular frequency (omega). Therefore, when using Superposition, we must construct a circuit in the frequency domain for each separate frequency. Recall that impedance depends on frequency. The theorem becomes critical if the AC circuit has sources that are operating at different frequencies.įor circuits with sources operating at different frequencies: Since the Superposition Theorem applies to linear circuits, it can be used to analyze AC circuits in the same manner as with DC circuits. Find the total contribution by adding all of the individual contributions from each independent source.Repeat step #1 for each remaining independent source.Determine the output voltage/current due to the remaining source. "Turn off" all independent sources except one source.Steps to analyzing Circuits using the Superposition Theorem: The Linearity Property is (not surprisingly) valid only for linear circuits where the output is linearly related (directly proportional) to its input. Superposition is based on the Linearity Property which states that the response to a sum of inputs is the sum of the response to each separate input. ![]() The Superposition principle states that the voltage across (or current through) an element in a linear circuit is the sum of the voltage across (or current through) that element due to each independent source acting alone. It is assumed that the reader is already familiar with the topic of using Superposition to solve a DC circuit and this tutorial will simply show how it applies to AC circuits.īrief Introduction on the Superposition Theorem:įirst, consider a circuit with two or more independent sources. This won't be a "ground-up" explanation of the Superposition Theorem as it applies to DC circuits (which is usually how the Theorem is introduced). AC Superposition Analyzing AC Circuits using the Superposition Theorem ![]()
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