If the individual currents are in the same direction, the resulting current is the sum of two in the direction of either current. That is, for a two-source network, if the current produced by one source is in one direction, while that produced by the other is in the opposite direction through the same resistor, the resulting current is the difference of the two and has the direction of the larger. The total current through any portion of the network is equal to the algebraic sum of the currents produced independently by each source. Figure reviews the various substitutions required when removing an ideal source and Figure reviews the substitutions with practical sources that have an internal resistance. ![]() Any internal resistance or conductance associated with the displaced sources is not eliminated but must still be considered. To remove a voltage source when applying this theorem, the difference in potential between the terminals of the voltage source must be set to zero (short circuit) removing a current source requires that its terminals be opened (open circuit). ![]() To consider the effects of each source independently requires that sources be removed and replaced without affecting the final result. To kill a voltage source means the voltage source is replaced by its internal resistance whereas to kill a current source means to replace the current source by its internal resistance. It may be noted that each independent source is considered at a time while all other sources are turned off or killed. Where I= total current = current due to E1 source = current due to E2 source = current due to Is sourceĪccording to the application of the superposition theorem. The problem is to determine the response I in the in the resistor R2. One may consider the resistances R1 and R3 are the internal resistances of the voltage sources whereas the resistance R4 is considered as internal resistance of the current source. ![]() Superposition theorem can be explained through a simple resistive network as shown in figure and it has two independent practical voltage sources and one practical current source. In any linear bilateral network containing two or more independent sources (voltage or current sources or combination of voltage and current sources ), the resultant current voltage in any branch is the algebraic sum of currents / voltages caused by each independent sources acting along, with all other independent sources being replaced meanwhile by their respective internal resistances. The superposition theorem states that in any linear network containing two or more sources, the response (current) in any element is equal to the algebraic sum of the response (current) caused by individual sources acting alone, while the other sources are inoperative.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |