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

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

• A. It decreases
• B. It remains the same
• C. It becomes zero
• D. It increases

Answer: (D)

In a series circuit, the total resistance increases as more resistors are added. This is because the resistors are connected end-to-end in a single path for the current to flow. When additional resistors are introduced into the circuit, each resistor adds its own resistance to the total. The overall resistance in a series circuit is calculated by summing the individual resistances.

Mathematically, this is expressed as:

( 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 resistances of the individual resistors. Each resistor contributes to the total resistance; therefore, as more resistors are added, the cumulative resistance increases, making it harder for the current to flow through the circuit. This principle is fundamental in circuit design and analysis, especially when determining how circuit configurations affect current and voltage across components.