My Comparison of Network Theorems
In order to compare these four theorems, we must understand how each of them works. In the end we will compare the results obtained and we will also provide a link to download this tutorial with the problems solved and with more details. The proposed circuit is the one shown below.
Superposition Theorem
In this theorem we are only going to work with the 28 volt battery and we solve the resistor meshes, that is, we obtain values of voltages and currents and their polarization in each of the resistors.
Then we do the same work as in the previous paragraph but we do it only with the battery of 7 volts.
Finally, we superimpose the values obtained in each of the resistors and take into consideration the polarity of these resistors. The final result will be the one observed in the following image.
Thevenin's theorem
In the original circuit we propose the resistance R2 as the load resistance, we leave the open circuit in resistor R2 and solve the mesh to calculate the voltage and resistance of Thevenin.
Finally, we consider the Thevenin equivalent circuit obtained in the previous paragraph and calculate the voltage and current in the load resistance R2. The equivalent circuit of Thevenin found is as follows.
Norton's theorem
In the original circuit we propose the resistance R2 as the load resistance, we leave a short circuit in the resistance R2 and solve the mesh to calculate the current and the resistance of Norton.
Finally, we consider the Norton equivalent circuit obtained in the previous paragraph and calculate the voltage and current in the load resistance R2. The Norton equivalent circuit found is as follows.
Mesh Current
In this circuit we will first propose the circulation of currents in the meshes and also polarize the resistances.
Next, we find equation 1 with the mesh with the 28 volt battery. This equation is the sum of the voltages between the battery and the voltage drops in the resistances and must be equal to zero.
Then we do the same work as in the previous paragraph but we do it only with the mesh that has the battery of 7 volts and so we obtain equation 2.
Finally, we solve the two equations and find the values of currents and voltages in each of the resistors. The final result will be the one observed in the following image.
The results obtained were identical in the four theorems.
The full download link of the tutorial with mathematical calculations is shown below.