Is b 20A 100A I2 Is 30.52 30A 0.52 50A
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Question
Find I1, I2, I3 ??

Transcribed Image Text:Is
b 20A
100A
I2
Is
30.52
30A
0.52
50A
Expert Solution

Step 1
For the given circuit let's assume i current is flowing through wire DC and I' current is flowing in the wire BC along the direction shown.
Apply Kirchhoff's current law at junction A we get
I1 + I2 + I3=100A .............(1)
at junction B
I' -I1 = -20A
Or
I' = -20 + I1 .............(2)
at junction C
I' + I2 + i= 50A .............(3)
At junction D
I3 - i =30A
Or
i=I3 - 30 .............(4)
Apply Kirchhoff's voltage law in loop-ABC we get
1xI1 +0.5x I' -1x I2=0
Or
I1 +0.5I' -I2=0 .............(5)
in loop-ACD
I2 - I3 -0.5 i =0 .............(6)
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