physics – current?

Calculate the current i5 in the following configuration:

Answer 1

To avoid confusion I have replaced 1234and 5 by abcd and f .

Ia , Ib and Ic are toward the junction.
Id and If are away from the junction
Ia +,Ib + Ic = id + If
5 +6 + 4 = 9 + I f
15 = 9 + If
If = 15 -9 = 6 A

Answer 2

using kirchoff’s law:

i1 + i2 + i3 = i4 + i5

therefore, i5 = i1 + i2 + i3 – i4
= 5+6+4-9
= 6A

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