A rectangular conducting homogeneous (which means the material is the same throughout) block has dimensions
. A voltage V is applied between all opposite faces of the block and the corresponding currents were recorded. What is the maximum current measured
in Amps
if the minimum current recorded is
.
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The resistance in a conductor is proportional to the length of the conductor and inversely proportional to its cross section. If we apply a voltage V to the 1 × 2 face, the current will be given by I x y = ρ V z x y where x = 1 c m , y = 2 c m , z = 3 c m and ρ is the resistivity of the material. By comparing the ratios z x y , y x z and x y z we find that I m i n I m a x = 9 → I m a x = 9 mA .