A network of resistors is connected across a \(10~\text{V}\) battery with an internal resistance of \(1~\Omega\) as shown in the circuit diagram. The equivalent resistance of the circuit is:
1. \(\frac{17}{3}~\Omega\)
2. \(\frac{14}{3}~\Omega\)
3. \(\frac{12}{7}~\Omega\)
4. \(\frac{14}{7}~\Omega\)