Superposition rule is used to solve a DC resistive circuit which has two independent voltage sources and four resistors.
A circuit with four meshes solved using the mesh analysis.
Find using superposition rule: Solution Superposition The superposition theorem states that the response (voltage or current) in any branch of a linear circuit which has more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, while all other independent sources are turned off (made zero).
Find Thevenin's and Norton's Equivalent Circuits:Suppose that , and . Solution The circuit has both independent and dependent sources. In these cases, we need to find open circuit voltage and short circuit current to determine Norton's (and also Thevenin's) equivalent circuits.
A DC resistive circuit with two sources, one voltage source, one current source both independent solved using current division method.
Solve the circuit and find the power of sources: , , , , , . Solution: There are three meshes in the circuit. So, we need to assign three mesh currents. It is better to have all the mesh currents loop in the same direction (usually clockwise) to prevent errors when writing out the equations.
Find the voltage across the current source and the current passing through the voltage source. Assume that , , , ,, , Solution is in series with the current source; therefore, the same current passing through it as the current source:
Determine voltage across and using voltage division rule. Assume that , , , and Solution: Please note that the voltage division rule cannot be directly applied. This is to say that:
Find resistor currents using KVL. Solution: and are parallel. So the voltage across is equal to . This can be also calculated using KVL in the left hand side loop:
Thévenin's Theorem is deployed to solve a simple circuit which contains two independent sources. The solution is explained step-by-step.