When resistors are connected in series, what happens to the total resistance?

When resistors are connected in series, the total resistance increases. This is because in a series connection, the current has to pass through each resistor one after the other. The total resistance in a series circuit is simply the sum of the individual resistances of each resistor. Mathematically, it can be represented as:

Total Resistance (R_total) = R1 + R2 + R3 + ...

As more resistors are added in series, each contributes to the overall opposition to the flow of electric current, thereby increasing the total resistance of the circuit. This concept is fundamental in circuit design and analysis, as it affects how current flows through the entire circuit and influences other electrical parameters such as voltage and power distribution.