Series Resistance

Resistors in Series

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

$R_ ext{total} = R_1 + R_2 + R_3 + cdots$

Why?

Each resistor impedes the current. Placing two resistors in series is like adding a second narrow section to a pipe — the total obstruction doubles.

Voltage Divider

The voltage across each resistor is proportional to its resistance:

V_n = V_ ext{total} cdot rac{R_n}{R_ ext{total}}

This voltage divider principle is used everywhere — from sensor circuits to audio volume controls.

Examples

Your Task

Implement series_resistance(resistances) taking a list of resistances and returning their total.