Physics

Mixing Up Series and Parallel Circuits

Students add resistor values in every circuit, even when the resistors are connected in parallel.

Quick check

Why students make it

Series circuits look simpler because charge has one path, so adding resistances feels like the default rule. In parallel circuits, extra branches actually give charge more paths, so the equivalent resistance gets smaller.

The rule done right

In series, resistances add directly, so Req=R1+R2+⋯R_{eq}=R_1+R_2+\cdots. In parallel, reciprocals add, so 1Req=1R1+1R2+⋯\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\cdots.