Discussion

The most basic way of performing circuit analysis is by the use of ohms law, KVL (Kirchhoffs voltage law), and KCL (Kirchhoffs current law).

- OHM'S LAW

                                                   I=V/R           V=IR              R=V/I

Ohm's law gives the mathematical relation between electric current(I), resistance(R), and potential difference(V).

- KCL

     

                                                             i1 + i2 = i3 + i4

KCL states that the current entering the node is equal to the current leaving the node

- KVL

                                                         V1 + V2 - V3 - V4 = 0

KVL states that the  sum of the branch voltages around any closed loop is equal to zero.


Other methods

Nodal analysis, Mesh analysis, and Thevenins theorem
- These methods are used to identify the unknown elements in a complex or simple circuit. In nodal analysis, it determines the voltage between the nodes in an electrical circuit in terms of the branch currents. While in mesh analysis, it creates a loop in a planar circuit and creates a formula to identify the current in that loop. In thevenins theorem, it assumes a source(voltage/current) and kill all remaining given sources to obtain the unknown value.