R1 and R2 are in series,
R = R1 + R2
= 3+ 3 = 6\(\Omega\)
This is in parallel with R3, so
\(\frac{1}{R_P} = \frac{1}{R} + \frac{1}{R_3}\)
= \(\frac{1}{6} + \frac{1}{3} = \frac{1}{2}\)
⇒ RP = 2\(\Omega\)
R4, RP and R5 are in series,
R = R4 + RP + R5
= 0.5 + 2 + 0.5
= 3\(\Omega\)
Then current,
I = \(\frac{1}{R} = \frac{3}{3}\) = 1A