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The resistance and the magnitude of the current depend on the path that the current takes. The drawing shows three situations in which the current takes different paths through a piece of material. Each of the rectangular pieces is made from a material whose resistivity is *?* = 1.50 x 10^{-2} ?*m, and the unit of length in the drawing is *L _{0}* = 6 cm. Each piece of material is connected to a 3.00-V battery. Find

The resistance and the magnitude of the current depend on the path that the current takes. The drawing shows three situations in which the current takes different paths through a piece of material. Each of the rectangular pieces is made from a material whose resistivity is \( \rho=1.50 \mathrm{x} \) \( 10^{-2} \Omega^{*} \mathrm{~m} \), and the unit of length in the drawing is \( L_{0}=6 \mathrm{~cm} \). Each piece of material is connected to a \( 3.00-\mathrm{V} \) battery. Find (a) the resistance and (b) the current in each case. (a) (b) (c)

(a) here height h=L0 length l=4L0 width =w=2L0 resistance R=?lA here A=cr