Kirchhoff's laws are used to analyze the behavior of current and potential in an electrical network. Kirchhoff gives two laws named as Kirchhoff's current law(KCl) and Kirchhoff's voltage law(KVL). Application of laws nodal analysis and mesh analysis are used for the analysis of the electrical circuit to find currents and voltages.
KCL
It states that the sum of the incoming currents in a node(the point where a number of branches meet) is equal to the sum of currents leaving the node.
as in figure i1 and i2 are entering in a node and i3 and i4 leaves the node. so according to this law
i1+i2=i3+i4 or
i1+i2-i3-i4=0
KVL
As KCL deals with the currents KVL deals with the voltages of electrical circuits. it states that the algebraic sum of all emf and voltage drops in a closed electrical circuit is 0.
20-V1-V2=0 (direction of current is clockwise)
there was a voltage drop at resistances so they are taken as negative.
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