What happens to the total resistance in a series circuit if more resistors are added?

In a series circuit, the total resistance is the sum of the resistances of each individual resistor connected in the circuit. When additional resistors are added in series, their resistances are added together, which effectively increases the overall resistance. This is because each resistor opposes the flow of current, and adding more resistors means more obstacles for the current to pass through.

Mathematically, the total resistance (R_total) in a series circuit can be expressed as:

R_total = R1 + R2 + R3 + ... + Rn

where R1, R2, R3, ..., Rn are the resistances of the individual resistors. As you can see from the formula, each resistor contributes to the total resistance. Therefore, adding more resistors will always lead to a greater total resistance, reflecting the increased opposition to current flow.

To put it simply, the rule in series circuits is that the total resistance increases with the addition of more resistors, leading to a decrease in current for a given voltage according to Ohm's Law (V = IR). When resistors are added, the path for the electric current becomes more restricted, resulting in this increase in resistance.