What happens to the total resistance when resistors are added in series?

When resistors are added in series, the total resistance increases because the overall resistance in the circuit is the sum of the individual resistances. When resistors are connected in series, the current flowing through the circuit experiences each resistor sequentially, and thus, each resistor adds its value to the total resistance. This is described mathematically by the formula:

[

R_{total} = R_1 + R_2 + R_3 + ... + R_n

]

Where (R_{total}) is the total resistance and (R_1, R_2, R_3, ..., R_n) are the individual resistances of the resistors connected in series. As a result, as more resistors are connected, the cumulative effect of resistance increases, leading to a higher total resistance in the circuit. Therefore, the correct answer highlights that adding resistors in series results in an increase in total resistance.