Which of the following equations correctly represents total resistance in a series circuit?

In a series circuit, the total resistance is calculated by simply adding together the individual resistances of all components connected in a series. This is represented by the equation R_total = R1 + R2 + R3 + ..., where each subsequent resistor’s value is added to the previous total.

When resistors are in series, the current flowing through each resistor is the same, which means that resistance accumulates as the electricity flows through each resistor. Thus, the total resistance is the sum of resistance values.

This principle is crucial because it affects the overall behavior of the circuit; with a higher total resistance, the current will decrease for a given voltage according to Ohm's law (V = IR). Understanding this fundamental characteristic helps in calculations and practical applications involving circuits, ensuring that engineers and students can design and analyze electrical systems effectively.