Starting with the left-most column, populate the boxes from left to right withou

Question

Starting with the left-most column, populate the boxes from left to right without skipping empty boxes. Ties should be grouped in the same box. A wire of length L and cross-sectional area A has a resistance R. Rank the resistance of the following systems from smallest to largest. ( There may be ties.) The wire described above is placcd in parallel with an identical wire. The wire described above is placcd in series w ith an identical wire. The wire described above has cross-sectional area 2A . The wire described in (C) is placcd in parallel with an identical wire. The wire described in (C) Is placed in series with an identical wire. Click and drag the options into the described order.

Explanation / Answer

R=rho*L/A

resistance is inversely propotional to area

when two identical resistances are connected in parllel

=R*R/2R =R/2

when two identical resistances are connected in series

=R+R=2R

IN this case area is changed so

R/X =A2/A1

X=R/2

this is connected in parllel with identical wire

=R/4

X is connected in series with identical wire

=R/2 +R/2

=R

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