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Question

Find the currents I1 and I2 for the circuit shown in given figure.

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A
I1=6A and I2=9A
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B
I1=6A and I2=9A
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C
I1=6A and I2=9A
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D
I1=9A and I2=6A
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Solution

The correct option is A I1=6A and I2=9A
Consider node a, using Kirchhoff's current law
(using + for Iin for Iout)
Iatanode=0

3+2+Iab=0
Iab=1A

Consider node b,
Iba+7+I1=0 (Iab=Iba)
17+I1=0
I1=6A
Consider node d ,
Idc+41=0
Idc=3A

Consider node c,
I2+6+Icd=0
I2+6+3=0
I2=9A
optionAiscorrect

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