Series/Parallel Resistance
Physics, Circuits
Intro: Add directly in series; add reciprocals in parallel.
Worked example
- R: 4 Ω, 6 Ω, 12 Ω in parallel
- Inputs: $R_1=4$, $R_2=6$, $R_3=12\,\Omega$.
- Compute reciprocals: $1/4=0.25$, $1/6\approx0.1667$, $1/12\approx0.0833$.
- Sum reciprocals: $0.25+0.1667+0.0833=0.5000=1/2$.
- Invert: $R_{\parallel}=1/(1/2)=2\,\Omega$.
- Answer: $\boxed{R_{\parallel}=2\,\Omega}$.
FAQs
Mixed networks?
Reduce subgroups step-by-step (series or parallel) until one equivalent remains.
Why choose MathGPT?
- Get clear, step-by-step solutions that explain the “why,” not just the answer.
- See the rules used at each step (power, product, quotient, chain, and more).
- Optional animated walk-throughs to make tricky ideas click faster.
- Clean LaTeX rendering for notes, homework, and study guides.
How this calculator works
- Type or paste your function (LaTeX like
\sin,\lnworks too). - Press Generate a practice question button to generate the derivative and the full reasoning.
- Review each step to understand which rule was applied and why.
- Practice with similar problems to lock in the method.