Two resistors of resistance and are connected in series with a battery, which has an emf of and an internal resistance . What is the potential difference across the resistor of resistance ?
Series connection
Step 1: Equivalent resistance
The equivalent resistance of the circuit can be calculated by adding the individual resistances.
Here, is the equivalent resistance.
Step 2: Calculation of the total current in the circuit
Here, is the total current in the circuit and is the emf.
Step 3: Calculation of potential difference across the resistor of resistance
Here, is the potential difference.
Hence, the potential difference across the resistor of resistance is .