Determine the node voltage, Electrical Engineering

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Determine the node voltage:

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 .


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