Final answer:
The voltage for a circuit with each resistor being 100 ohms and a 25-volt battery will be 25 volts, as per Ohm's Law and the principles of series and parallel circuits.
Step-by-step explanation:
The voltage across the battery in the circuit with each resistor being 100 ohms and the battery providing 25 volts will be 25 volts. This is because, in both series and parallel circuits, the battery voltage does not change irrespective of how the resistors are configured. Each component in the circuit will have a voltage drop that adds up to the total voltage provided by the battery.
Ohm's Law states that V=IR, where V is the voltage across the resistor, I is the current through the resistor, and R is the resistance. Due to this law, we know that the total voltage provided by the battery is the sum of the voltage drops across all the resistors in a series circuit. For parallel circuits, the voltage across each branch is equal to the voltage of the source.