Saleem·the Physics Master

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Resistor Network Simplifier

Combine series and parallel groups one step at a time

Circuit

Battery voltage

V

Resistor values (Ω)

Step

Show current and voltage on the diagram

Steps so far

Results

Equivalent resistance R_eq Total current I = V / R_eq

Every resistor

Check: the powers add up to the battery's output P = VI.

Key idea

Series (one path, same current): R = R₁ + R₂ + …
Parallel (both ends joined, same voltage): 1/R = 1/R₁ + 1/R₂ + …
Always combine the innermost group first, then work outwards. To find each current, work back in: the current divides in parallel, and the voltage divides in series.