Calculate the value of current i

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Calculate the value of current i—

1. 5 A
2. 2 A
3. 3 A
4. 8 A

Correct Option: A

Current in branch BA, say i₁

KCL at node B. i + i₁ = 2
i₁ = 1 amp.
Current in branch AC, say i₂
KCL at node A:
6 = i₁ + i₂
6 = 1 + i₂
i₂ = 6 – 1 = 5 amp
Current in branch CD, say i₃
KCL at node BC
4 + i₂ = i₃
4 + 5 = i₃
or i₃ = 9 amp current branch DE i.e. i
i + 8 = 9
i = 1A