MESH ANALYSIS
The circuit analysis when is used to find branch current is called mesh current method or mesh analysis . the flowing points should be considered while doing mesh analysis .
1) mesh current is supposed for each mesh.
2) mesh current should be clockwise.
3) KVL equation is write for each mesh.
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| CIRCUIT DIAGRAM |
-R1I1-(I1-I2)R2+E1=0-------------(1 )
applying KVL to mesh second
-I2R3-E2-(I2-I1)R2=0--------------(2)
By solving equation 1 and 2 the mesh current can be determine . if the result is positive then the assumed direction is write otherwise wrong.
SUPERPOSITION THEORM
the current through any branch in a linear circuit is the algebraic sum of currents due to each source acting alone in the circuit .
CIRCUIT DIAGRAM
When E1 acting alone in the circuit
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the total circuit resistance
Rt=[(R2//R3)+R1]
Rt =[(R2.R3/R2+R3)+R1]
Therefore the total circuit current is
I=E1/Rt
therefore
Ia= I.R3/R2+R3 [I= total circuit current when E1 acting alone and
Ia=current flowing through the resistor R2]
when E2 acting along in the circuit
the total circuit resistance is
Rt=[(R1//R2)+R3]
Rt=[(R1.R2/R1+R2)+R3]
the total circuit current is
I2=E2/Rt
:Ib=I.R1/R1+R2 [I= total circuit current when E2 acting along in the circuit and Ib=current flowing through the R2]
by using superposition theorem
It=Ia+Ib proved
The circuit analysis which node voltage is used to find the branch current is called node analysis or node voltage method . in this method all the current are suppose to be out going the ground is taken are reference.
circuit diagram
applying KCL to node one
I1+I2+I3=0
(V1-E1)/R1+(V1-O)/R2+(V1-V2)/R3=0-----------(1)
applying KCL to node two
I3=I4+I5
I3-I4-I5=0
(V1-V2)/R3-(V2-0)/R4-(V2-E2)/R5=0-------------(2)
by solving equation 1 and 2 the node voltage V1and V2 can be determine and the hence the branch current can be determined.
1 Comments
nice knowledge able post
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