NODE
ANALYSIS:
The method is mainly based on KCL
this method uses the analysis of the different nodes of the network. We have
already denoted a node. Every junction point in a network where two(or)more
branches meet is called a node one of the nodes is assumed as referenced node
whose potential is assumed to zero potential node(or)datum node. A other nodes
the different voltages are to be measured with respect to this reference node
the advantages of this method lies in the fact that we get (n-1) equations to
solve. If there are 'n' nodes this reduces calculation work ,consider the
following network shown in figure.
At node V1 applying KCL:
i1=i3+i4
i1=(V1-V0)/R1+(V1-V2)/R2
(V1/R1)+(V1/R2)-(V2/R2)=i1
((1/R1)+(1/R2))V1-(1/R2)V2=i1
..........................1 equation
Applying KCL at node V2:
i2=i4+i5
=((V2-V1)/R2)+((V2-V0)/R3)
=(V2/R2)-(V1/R2)+(V2/R3)
=((1/R2)+(1/R3))V2-(V1/R2)
i2=(-V1/R2)+((1/R2)+(1/R3)V2 .......2equation
As i1 and i2
are known we get two equations 1 and 2 with the two unknown V1 and V2 solving this equations simultaneously the node
voltages V1 and V2 can be determined once V1 and V2 are known current through any branch of the
network can be determined.
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