Physics

Resistance in Parallel

Find equivalent resistance when resistors are connected in parallel.

1/Rₚ = 1/R₁ + 1/R₂ + 1/R₃ + …

Formula Explanation

In parallel the voltage across each resistor is the same.

Variables Explained

R₁, R₂… = individual resistances.

Solved Example

Two resistors 4 Ω and 6 Ω in parallel. Equivalent?
1/Rₚ = 1/4 + 1/6 = 5/12 → Rₚ = 12/5 = 2.4 Ω.

Exam Tip

Parallel resistance is less than the smallest individual resistance.