What occurs to the total series voltage when additional resistors are added?

When additional resistors are added in a series circuit, the total voltage across the series combination can indeed change. In a series circuit, voltage is divided among the various components according to Ohm's law, which states that voltage (V) is the product of current (I) and resistance (R).

When resistors are added in series, the total resistance of the circuit increases. According to Ohm's law, if the current remains constant (which can be assumed when you are considering a fixed voltage source), an increase in total resistance will lead to a decrease in current. However, if the total resistance is increased while keeping the voltage source constant, the total series voltage would effectively increase across the resistors collectively because the power source needs to push a higher voltage to maintain current flow through the increased load of resistance.

So when more resistors are added, the voltage across them grows because the series configuration allows each resistor to drop some portion of the total applied voltage. Each additional resistor requires more voltage to accommodate the total resistance, resulting in an overall increase in the total voltage requirement supplied by the power source.

Thus, the statement that the total series voltage increases when additional resistors are added is accurate within the context of a constant current scenario