Use KCL to determine the current i1, i2, i3, and i4 in the circuit of Figure P2.17. Assume that ia = ?2 A, ib = 6 A, ic = 1 A and id = ?4 A.





What will be an ideal response?


Known quantities:

ia = -2 A, ib = 6 A, ic = 1 A, id = -4 A

Find:

i1

i2

i3

i4

Analysis:

Use KCL at Node A.

i_1-i_a-i_c=0

i_1=i_a+i_c

i_1=-1A

Use KCL at Node B.

i_2-i_1-i_b=0

i_2=i_1+i_b

i_2=5A

Use KCL at Node C.

i_3-i_2-i_d=0

i_3=i_2+i_d

i_3=1A

Use KCL at Node D.

i_c+i_4-i_3=0

i_4=i_3-i_c

i_4=0A

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