Yes! I = V/R
Therefore I1 = VAB/R1 = 8.33/8330 = 1X10-3 A as we already knew.

I2 = VBC/R2 = 2/2500 = 0.8X10-3 A
There are two ways to get I3:
1. As above I3 = VBC/R3 = 2/10000 = 0.2X10-3 A
Note: 0.8X10-3 + 0.2X10-3 = 1.0X10-3 as it must.

2. Knowing that the current is conserved we have:
I3 = I - I2 = 1.0X10-3 - 0.8X10-3 = 0.2X10-3 A

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