Physics

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A certain number of identical resistors are connected in series and their total resistance is measured. When the resistors are disconnected and re-connected in parallel, their total resistance drops to one-percent of the value measured when they were connected in series. How many resistors are there?

  • Physics -

    If each resistor has value R, then

    R/n = nR/100
    100 = n^2
    n=10

  • Physics -

    Where does 100 come from?

  • Physics -

    what, you've forgotten your algebra? Multiply by 100nto lear the fractions:

    R/n = nR/100
    100R = n^2R
    100 = n^2

  • Physics -

    Steve, if you can, look at the answer given to me by Chegg. It is much more explanatory how 100 comes from than from what you wrote and just told me? 100 is not in the initial problem, so how am I to assume 100 is part of it? The only number given to me is 1%.

  • Physics -

    1% = 1/100

    sheesh!

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