What is the effect of connecting resistors in series on total resistance?

When resistors are connected in series, the total resistance increases. This is because each resistor adds its own resistance to the overall circuit. The total resistance in a series circuit is the sum of the individual resistances, expressed mathematically as:

R_total = R_1 + R_2 + R_3 + ... + R_n

This direct addition means that as more resistors are included in the series connection, the total opposition to current flow becomes greater.

In simpler terms, imagine the resistors as obstacles that current must flow through; every added resistor creates an additional barrier, limiting the flow of electricity more than any single resistor alone. Therefore, the cumulative effect of these added resistors results in an increase in total resistance.