Answer
We can rank the rods according to the magnitude of the electric field within
them:
$1 = 2 \gt 3$
Work Step by Step
We can write a general expression for the electric field in each rod:
$E = \frac{\Delta V}{length}$
We can find an expression for the electric field within each rod:
Rod 1:
$E = \frac{V}{L}$
Rod 2:
$E = \frac{2V}{2L} = \frac{V}{L}$
Rod 3:
$E = \frac{2V}{3L} = \frac{2}{3}\cdot \frac{V}{L}$
We can rank the rods according to the magnitude of the electric field within
them:
$1 = 2 \gt 3$
