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How many times will the resistance of an identical conductor be increase, if the parallel resistance be change to series one? -

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Question

How many times will the resistance of an identical conductor be increase, if the parallel resistance be change to series one?

Options

  • `sqrt(n)`

  • `n`

  • `n^2`

  • `n - 2`

MCQ

Solution

`n^2`

Explanation:

In series combination, effective resistance.

Rs = R + R ................ + n term = `n/R`

In parallel combination, effective resistance

`1/(Rp) = 1/R + 1/R` + .............. n term = `n/R`

RP = `R/n`

`(Rs)/(Rp)= (nR)/(R/n) = n^2`

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