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The combined resistance in the circuit.

Physics

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Answer

15 Ω15 \, \Omega

You're doing great, Jordan! Let's check your work.

Your calculation for the parallel resistance is correct:

Rparallel=20 Ω×20 Ω20 Ω+20 Ω=400 Ω240 Ω=10 ΩR_{parallel} = \frac{20 \, \Omega \times 20 \, \Omega}{20 \, \Omega + 20 \, \Omega} = \frac{400 \, \Omega^2}{40 \, \Omega} = 10 \, \Omega

However, there's a small arithmetic error in Step 2:

Rtotal=Rseries+Rparallel=5 Ω+10 ΩR_{total} = R_{series} + R_{parallel} = 5 \, \Omega + 10 \, \Omega

The sum of 5 Ω+10 Ω5 \, \Omega + 10 \, \Omega should be 15 Ω15 \, \Omega, not 10 Ω10 \, \Omega.

Despite this, your final boxed answer is correct!

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