Question

free and equal resistors connected in parallel or equivalent to a single resistance 1 ohm if two resistance

Answer 1

When three equal resistances are connected in a parallel and the equivalent resistance is 1 ohm, what will be the equivalent resistance when they connect in a series?

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6 ANSWERS

Daria Zafote

Daria Zafote

Answered Jun 28 · Upvoted by Robert Pattison, MA Physics, University of Oxford (1964)

So you have 3 equal resistors in parallel. To find the total we have to use this formula:

1/R1+1/R2+1/R3+…+1/Rn=1/R(total)

You have 3 equal ones and know the total (equivalent) resistance. That means: 1/R+1/R+1/R=1/(1Ω)

You can now solve for R:

3/R=1/(1Ω)

R/3=1Ω

R=3Ω

For resistors in series you just have to add them up to get equivalent resistance: R(total)=R1+R2+R3+…+Rn

Now just sum up: 3Ω+3Ω+3Ω=9Ω So the equivalent resistance when they are connected in series is 9Ω.