Final answer:
When one of the three resistors connected in series is removed, the total resistance decreases, which results in an increase in the current through the remaining resistors.
Step-by-step explanation:
When three resistors are connected in a series and one of them is removed, the total resistance in the circuit decreases. In a series circuit, the total resistance is the sum of the individual resistances of the resistors. Therefore, removing one resistor from a series circuit effectively reduces the total resistance.
Since the current in a series circuit is inversely proportional to the total resistance (Ohm's Law: I = V/R, where I is the current, V is the voltage, and R is the resistance), the current will increase when a resistor is removed from a series of three resistors.
Each resistor in a series circuit has the same current flowing through it. If you remove one resistor, the path for the current becomes easier, as there is now less resistance to oppose the flow of current. Consequently, the current throughout the remaining series circuit will increase given the same voltage supply.