Step 1: Understanding the circuit.
The potential difference across the combination of resistors can be calculated by applying Ohm’s law. Given that the total resistance is 0.5Ω and the applied voltage is 15V, the total current in the circuit can be calculated.
Step 2: Applying Ohm’s Law.
Using Ohm’s law \( V = IR \), where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance, the potential can be calculated based on the current and resistance.
Step 3: Conclusion.
The potential across the combination of resistors is \( 15g \, \frac{\epsilon_0}{6} \), so the correct answer is (A).