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Basic Circuit Analysis
Combination Series-Parallel Circuits

Section 3-2 Current in Combination Circuits

Example

R1 is NOT connected in series with R2. R1 is connected in series with the combined resistances of R2 and R3.

So this is incorrect: R1 + R2

This is  correct: R1 + R2 || R3

More Examples

Series-Parallel Resistance

R_T = R₁ + R₂ || R₃

R_T = R₁ || R₂ + R₃ || R₄

Parallel-Series Resistance

R_T = R₁ || (R₂ + R₃)

R_T = (R₁ + R₂) || (R₃ + R₄)

R_T = R₁ || (R₂ + R₃ || R₄)