![Thevenin's Theorem Circuit Diagram](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI0MjAiIGhlaWdodD0iMTkxIiB2aWV3Qm94PSIwIDAgNDIwIDE5MSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=)
Thevenin's theorem is a procedure by which we change a complex network in to simple network called thevenin's equivalent circuit.
![Super Position Theorem Circuit 1](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyODgiIGhlaWdodD0iMTE1IiB2aWV3Qm94PSIwIDAgMjg4IDExNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=)
In superposition theorem any linear bilateral circuit, which contain, G/R of same frequency the current that flows in any branch
![Node Voltage Method](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI0MzgiIGhlaWdodD0iMjIyIiB2aWV3Qm94PSIwIDAgNDM4IDIyMiI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=)
Another alternate method of analysis of multiple loop circuits is called the node voltage method.
![Mesh Current Method](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI0NDQiIGhlaWdodD0iMjIzIiB2aWV3Qm94PSIwIDAgNDQ0IDIyMyI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=)
In the mesh current method, you will work with loop currents instead of branch currents. A branch current is the actual current through a branch.
![Maximum Power Transfer Equation](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNDMiIGhlaWdodD0iNjMiIHZpZXdCb3g9IjAgMCAxNDMgNjMiPjxyZWN0IHdpZHRoPSIxMDAlIiBoZWlnaHQ9IjEwMCUiIHN0eWxlPSJmaWxsOiNjZmQ0ZGI7ZmlsbC1vcGFjaXR5OiAwLjE7Ii8+PC9zdmc+)
A resistive load will abstract maximum power from a net work when the load resistance is equal to resistance of the network
![Branch Current Method](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI0MzciIGhlaWdodD0iMjIxIiB2aWV3Qm94PSIwIDAgNDM3IDIyMSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=)
In the branch current method Kirchhoff's voltage and current laws are used to solve for the current in each branch of a circuit.
![Demorgan's Theorem Equation](data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI1NzAiIGhlaWdodD0iMjcwIiB2aWV3Qm94PSIwIDAgNTcwIDI3MCI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgc3R5bGU9ImZpbGw6I2NmZDRkYjtmaWxsLW9wYWNpdHk6IDAuMTsiLz48L3N2Zz4=)
The complement of the sum of two or more variables is equal to the product of the complement of the variables.