The circuit diagram is not visible in the provided prompt, so the exact network cannot be analyzed directly from first principles.

However, the question includes the options:

• $6\,\text{V}$
• $3\,\text{V}$
• $2\,\text{V}$
• $1\,\text{V}$

and the stored correct answer is C, i.e. $2\,\text{V}$.

Since the actual circuit figure is missing, a step-by-step circuit reduction or application of Kirchhoff’s laws cannot be performed reliably.

Therefore, based on the available information only, the potential difference between $A$ and $B$ is taken as:

$V_{AB} = 2\,\text{V}$

So the correct option is:

Option C: $2\,\text{V}$