two squares, X and Y, cut from a sheet of metal, of uniform thickness t. X and Y have sides of length “L” and “2L” respectively. The resistance “Rx” and “Ry” of the squares are measured between the opposite faces shaded in the diagram. What is the value of Rx/Ry?
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The resistance of the square X is given by
R
x
=ρ
Lt
L
=
t
ρ
where ρ is the resistivity on the metal. Similarly,
R
y
=ρ
(2L)t
2L
=
t
ρ
same as before. Hence, R
x
/R
y
=
Explanation:
hope this helps
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