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Determine the node voltage by using KCL:
Determine the node voltage V and then current flowing through each element by using KCL.
Solution
Apply KCL at the node whose voltage is V.
Algebraic summation of all the current meeting at node is zero.
(V - 10) /I+ V/I + V /4 = 0
V [1 + 1 +(1/4)] = 10
2.25 V = 10
V = 4.44 volt.
Now we have to determine current through each element.
I1 = 10 - V / 1 = 10 - 4.44 = 5.56 Amp
I1 = V/1 = 4.44 Amp
I2 =V/4 = 1.11 Amp .
For the network shown in Figure, find the current delivered by the 10-V source and the voltage across the 3- resistor by means of mesh-current analysis.
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