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rearrange the circuit , new arrangement is shown in figure.
now here it is clear that two resistors 6Ω and 3Ω are joined in parallel.
so, R1 = 6 × 3/(6 + 3) = 2Ω
R1 and 4Ω are joined in series so, R2 = R1 + 4Ω = 2Ω + 4Ω = 6Ω
now R2 and 3Ω are joined in parallel combination. so, Req = R2 × 3/(R2 + 3)
= 6 × 3/(6 + 3) = 2Ω
applying Ohm's law,
V = IR
so, I = V/R = 6 V/2Ω = 3A
hence, current through circuit should be 3A.
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