AP® Physics C: E & M

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Moderate

Resistance vs Cross Sectional Area

APPHEM-EYTRZ4

The cross sections of five resistors which are made from the same metal and have the same lengths are shown below.

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  • Resistors (a), (b) and (c) are solid and have radii of $R/2$, $R$ and $2R$ respectively.
  • Resistors (d) and (e) have a cylindrical hole in the center.
  • The outer radii of the resistors (d) and (e) are $R$ and $2R$.
  • The diameters of holes of these resistors are $R/2$ for the resistor (d) and $R$ for the resistor (e).

Rank these resistors from most conductive to least conductive.

A

d, e, a, b, c

B

d, a, b, e, c

C

a, d, b, e, c

D

c, e, b, d, a

E

c, b, a, e, d