How is the battery voltage shared among resistors joined in series?
AEach resistor carries the full battery voltage
BThe largest resistor takes the whole voltage
CEvery resistor takes an equal share of it
DThe resistors divide it between themselves
Answer & Solution
Correct answer: D. The resistors divide it between themselves
1. Each series resistor drops IR, and the current I is common to all of them.
2. Adding those drops returns the full battery voltage, so the resistors divide it between them.
3. The shares are equal only when the resistances happen to be equal, since a larger resistance takes a larger drop.
4. Only a resistor connected on its own across the battery, which is a parallel connection, gets the whole voltage.
_Source: OpenStax College Physics (CC BY 4.0), Ch 21 "Circuits and DC Instruments", section 21.1 Resistors in Series and Parallel_
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