Since we know the magnitude and direction of the net resulting current flowing through each resistor, we can use Ohm’s law to calculate the voltage drop across each resistor. We now know the net resulting current magnitude and direction for all points in the circuit.įigure 6 (b) : Net resulting resistor currents Step 6: Calculate the voltage on each resistor If the individual resistor currents flow in the same direction they are summed or added, and if they flow in the opposite direction they are subtracted. Having obtained the resistor currents for each individual source in the network, we combine the results to arrive at the net resulting resistor currents as shown in Figures 6(a) and 6(b).įigure 6 (a) : Combining the two sources currents Step 5: Sum the current of each source together. We will use the current divider rule to calculate the current through individual resistors. Now eliminate the voltage source and replace it with a short circuit as shown in Figure 5 and calculate resistor currents based on the I2 current source.įigure 5: Calculating current source currents IR3 = 0 Step 4: Repeat steps 2 and 3 for the rest of the sources. Note that due to the open circuit no current will be flowing through R3 of Figure 4. Using Ohm’s Law, we can calculate the individual currents flowing through each resistor. Figure 4: Calculating voltage source current In this example, we will eliminate the current source and analyze the circuit with just the 12 V voltage source as shown in Figure 3.įigure 3: Circuit after eliminating the current source Step 3: Calculate resistor currents produced by the voltage source. When you eliminate a current source, it acts as an open circuit and when you eliminate a voltage source, it acts as a short circuit. ![]() Įliminate all but one source and analyze the circuit. 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. 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.
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