LOOP ANALYSIS(or)MESH ANALYSIS



LOOP ANALYSIS(or)MESH ANALYSIS:
consider following network shown in figure .There are two loop's. So assuming two loop current's has i1 and i2.
Consider loop ABEFA:
V1-V3-V4=0
V1-i1*R1-(i1-i2)R3=0
-i*R1-i1*R3+i1*R3=-V1
V1=i1(R1+R3)-i2*R3...........1 equation
Consider loop BCDEB:
-V5-V2+V4=0
-i2*R2=-V2+R3(i1-i2)=0
V2=-i2(R2+R3)+R3*i1      ..........2 equation
By solving above equation's any unknown branch currents can be determine.
Point's to remember for loop analysis:
(i)While assuming loop current make sure that at least one loop current links with every element.
(ii)No two loop's should be identical.
(iii)Choose minimum number of loop current.
(iv)If current in a particular branch then required then try to choose loop current in such a way that only one loop current links with the branch.


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