What happens to the voltage drop and current through the first resistor when a third resistor is added in series?

When a third resistor is added in series to the circuit, the overall resistance in the circuit increases. According to Ohm's law (V = IR), the current flowing through the circuit is inversely proportional to the total resistance when the voltage source remains constant.

As more resistors are added in series, the total resistance of the circuit becomes the sum of all individual resistances. This increase in total resistance causes the current to decrease throughout the entire circuit, including through the first resistor.

Because of this decrease in current, the voltage drop across each resistor is also affected. The voltage drop across a resistor in a series circuit can be calculated using Ohm's law. Since the current through the first resistor diminishes, the voltage drop across it also decreases in proportion to the current.

Thus, when a third resistor is added in series, both the current through the first resistor and the voltage drop across it will decrease, making the statement correct.