A network of resistors is connected across a 10 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. \(\frac{14}{7}~\Omega\)