In a series circuit with several resistors, what is true of the current and the voltage drop across each resistor?

1. Charge cannot pile up or vanish at any point along a single conducting path, so the same current must pass through each resistor in turn. 2. Each resistor's voltage drop is given by Ohm's law, V = IR, using that shared current I. 3. Because the current I is fixed but each resistor has a different R, the voltage drops V = IR are generally different for each resistor. 4. This is the classic series trap: students often assume equal resistors mean equal everything, but only unequal resistors are needed for unequal voltage drops with the same current. 5. The option claiming both current and voltage drop are identical everywhere ignores that different resistances give different IR products. 6. The option swapping the roles, same voltage but different current, actually describes a parallel connection, not series. 7. The option claiming both vary randomly ignores that the current is fixed by charge conservation along the single path. 8. So the correct statement is that current stays the same while voltage drop can differ across resistors in series. _Source: OpenStax Physics (CC BY 4.0), Ch 19 "Electrical Circuits", section 19.2 Series Circuits_