Parallel currents sum to total; series voltages add to emf

Steps:

• Circuit: series resistor with parallel pair; each has 2V across.
• Total emf = voltage across series (2V) + parallel combo (2V) = 4V.
• Battery current 0.4A flows through series resistor, then splits in parallel.
• Parallel currents: one 0.3A, so other = total 0.4A - 0.3A = 0.1A.

Why A is correct:

• 0.1A from current conservation in parallel (Kirchhoff's current law); 4V from adding series voltages (KVL).

Why the others are wrong:

• B: 0.3A implies parallel total 0.6A, exceeds battery 0.4A.
• C: 6V assumes three 2V drops, but only two voltage sections.
• D: Combines B's current error with C's emf error.

Final answer: A