Final answer:
In a circuit with two identical resistors connected in series, the potential difference across both resistors is equal and can be calculated using Ohm's law.
Step-by-step explanation:
In a circuit with two identical resistors connected in series with a battery, the potential difference across both resistors is equal and can be calculated using Ohm's law.
The potential difference across a resistor is given by the formula: V = IR, where V is the potential difference, I is the current, and R is the resistance.
Since the resistors are identical and connected in series, the current passing through both resistors is the same. Therefore, the potential difference across both resistors is the same.
Using the given information, we can calculate the potential difference across the two resistors by multiplying the current passing through them by their common resistance.
Example:
If the current passing through the circuit is 2 Amps and the resistance of each resistor is 5 Ohms, then the potential difference across both resistors would be V = (2 A) * (5 Ohms) = 10 Volts.