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By constructing equivalent voltage source at the left of terminals a and b in the given circuit, Find current I.

By constructing Millman’s equivalent voltage source at the left of terminals a and b in the given circuit, Find current I.

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Solution:

Given circuit. Can be drawn as,

enter image description here

Milliman's equivalent voltage source circuit. is,

enter image description here

Rmm=Iaid1000Ω....(1)

I=VmRm+1000

Where,

Vm=V1G1+V2G2+V3G3G1+G2+G3 ....... (2)

&

Rm=1Gm=1G1+G2+G3

G1=1R1=110=0.1;G2=1R2=1100=0.01vG3=1R3=1100=0.01v

from..... (2)

$ \begin{aligned}\\ R_m=\frac{1}{G_m}=& \frac{1}{0.1+0.01+0.01}=8.333 …

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