Series Resistance

Resistors in Series

When resistors are connected end-to-end, the same current flows through all of them. The total resistance is simply the sum:

R_total = R₁ + R₂ + R₃ + ... + Rₙ

Why It's Additive

Each resistor "opposes" the current. String them together and their opposition stacks up — like connecting multiple narrow pipes end-to-end.

Key Properties

• Same current through every series resistor: I₁ = I₂ = ... = I
• Voltages add up to the supply: V₁ + V₂ + ... = V_supply
• Total resistance is always greater than any individual resistor

Examples

Practical Note

Series circuits are used in Christmas lights (old style) and current-limiting resistors. If one series element fails open, the entire circuit breaks.

Your Task

Implement double series_resistance(double *r, int n) that returns the total series resistance of n resistors stored in array r.