The number of lightbulbs in a series circuit will not affect the current flowing through them. The independent variable is resistance. The dependent variable is voltage.
The current is the stream of charges which flow inside the conductors when connected across the end of voltage.
For the given set of series bulbs as resistors, the current flowing through all the bulbs will the same. Voltage is divided to each resistor.
From the Ohm's law, V =IR
R = V/I
Here, R is the proportionality constant. So, this is independent value.
The voltage difference across the resistors dependent on the current flowing through that resistance.
Thus, the number of lightbulbs in a series circuit will not affect the current flowing through them. The independent variable is resistance. The dependent variable is voltage.
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