(a) Applying Kirchhoff’s law
$(2 + 2) = (0.1 + 0.3 + 0.2)i \Rightarrow i = \frac{20}{3}A$
Hence potential difference across $A$
$= 2 - 0.1 \times \frac{20}{3} = \frac{4}{3}V$ [less than $2V$]
Potential difference across $B = 2 - 0.3 \times \frac{20}{3} = 0$