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.) A) The wire described above is placed in parallel with an identical wire. B) The wire described above is placed in series with an identical wire. C) The wire described above has cross-sectional area 2 A. D) The wire described in (C) is placed in parallel with an identical wire. E) The wire described in (C) is placed in series with an identical wire.

Explanation / Answer

since R = K * L/A

a) parallel with identical wire so Rnet = R/2

b) series with identical wire so Rnet = 2R

c) cross sectional area so 2A so Rnet = K * L / 2A which is R/2

d) parallel (C) wires so Rnet = R/4

e) series (C) wires so Rnet = R

from smallest to largest

D < C=A < E < B

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