How does the effective resistance behave when resistors are in series?

When resistors are connected in series, the effective resistance increases. This is due to the fact that the total resistance in a series circuit is simply the sum of the individual resistances. For instance, if you have two resistors with resistances of R1 and R2 connected in series, the effective resistance (R_total) can be calculated as R_total = R1 + R2.

As more resistors are added in series, the overall path that the current has to travel through becomes longer, effectively increasing the resistance faced by the current. This increase in resistance leads to a decrease in the total current flowing through the circuit, according to Ohm’s law (V = I * R), where V is the voltage, I is the current, and R is the resistance.

In summary, the behavior of effective resistance when resistors are in series is characterized by an increase, as each additional resistor adds its resistance to the total.