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 ρ = 1.50 x 10-2 Ω*m, and the unit of length in the drawing is L0 = 4 cm. Each piece of material is connected to a 3.00-V battery. Find (a) the resistance and (b) the current in each case.

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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 ρ = 1.50 x 10-2 Ω*m, and the unit of length in the drawing is L0 = 4 cm. Each piece of material is connected to a 3.00-V battery. Find (a) the resistance and (b) the current in each case.

4Lo
2LO
Lo
Lo
4LO
2LO
Lo
4LO
(c)
(b)
(a)
Transcribed Image Text:4Lo 2LO Lo Lo 4LO 2LO Lo 4LO (c) (b) (a)
Expert Solution
Step 1

Given that-
Resistivity of a material (ρ)=1.50×10-2Ωm

 unit Length (L0=4 cm=0.04 mvoltage(V)=3V

For Diagram (a)
Formula used -
R=ρLA
Where, A= Area of cross section
 i.e A=2 Lo X Lo =2L02
L= Length of Material
So, Here, L=4L0
R=P4L02L022PL0R=21.5×10-20.04R=0.75Ω Ans. 

So, current would be, 

I=VR=30.75 A=4 A

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