Final answer:
In summary, resistors in parallel have the same potential difference and the equivalent resistance is less than the smallest individual resistor, while resistors in series carry the same current.
Step-by-step explanation:
When analyzing circuits with resistors, it's crucial to understand how different configurations affect current flow, potential difference, and equivalent resistance. Here are the statements that are true based on the concepts of series and parallel circuits:
Resistors connected in parallel will always have the same potential difference across all of them.
Resistors connected in series will always have the same current flowing through all of them.
When combining multiple resistors in parallel, the equivalent resistance is less than any of the individual resistances.
In a series circuit, the current must flow through each resistor in turn, which means that each resistor in a series will have the same current. However, the potential difference (voltage) across each resistor can be different, and the sum of these voltages equals the total voltage from the source. On the other hand, for resistors in parallel, the voltage across each resistor is the same because they are connected to the same two points in the circuit. This is true no matter how many resistors are connected between those two points. However, the current will be divided among the resistors in a parallel circuit, with each resistor carrying a different amount based on its resistance.