Final answer:
The relationship between voltage across multiple resistors and a single resistor depends on whether they are in a series or parallel circuit. In a series circuit, the total voltage is the sum of the voltages across each resistor, while in a parallel circuit, the voltage across each resistor is equal to the total voltage from the power source.
Step-by-step explanation:
The relationship between the voltage across two resistors and the voltage across one resistor in a circuit can be explained using Ohm's law and principles of series and parallel circuits.
In a series circuit, the total voltage (V) across all resistors is the sum of the voltages across each resistor. That is, V = V1 + V2, where V1 is the voltage across resistor 1 (R1), and V2 is the voltage across resistor 2 (R2). According to Ohm's law, the voltage across a resistor is given by V = IR, where I is the current through the resistor and R is the resistance.
In a parallel circuit, all resistors have the same voltage across them, equal to the voltage supply. Therefore, if we're discussing two resistors in parallel, V1 = V2 = voltage of the power source.
These principles show how the voltage across individual resistors relates to each other and to the total voltage in the circuit. Also, consider that the totalresistance in a series circuit is the sum of the individual resistances, whereas in parallel, the total resistance is less than any of the individual resistances.