Concept:This problem is solved using Kirchhoff's Current Law (KCL).
At any junction, the total current entering equals the total current leaving.
Explanation:At the first junction, currents of
2A and
3A enter.
So the current leaving this junction is:
2A+3A=5AAt the second junction, the incoming current is
5A.
One branch takes away
1A, so the current moving toward the third junction is:
5A−1A=4AAt the third junction, the incoming current is
4A.
It divides into three outgoing branches:
0.6A,
1.3A, and
i.
Applying KCL:
4A=0.6A+1.3A+i4A=1.9A+ii=4A−1.9A=2.1AAnswer:The value of current
i is
2.1A.
Hence, the correct option is C.