The resistance and the magnitude of the current depend on the path that the curr

Question

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 10-2 ·m, and the unit of length in the drawing is L0 = 5.80 cm. Each piece of material is connected to a 3.00-V battery. Find (a) the resistance and (b) the current in each case.

The r esistance and the magnitude of the current depend on the path that the current takes. The drawing shows three in which the current takes different paths through a piece of materia Each of the rectangular pieces is made situations from a material whose resistivity is p 1.50 X 10 2.m, and the unit of length in the drawing is L 5.80 cm. Each piece of material is connected to a 3.00-V battery. Find (a) the resistance and (b) the current in each case 2LON Lo 4Lo 4Lo (b) (c) Select v (a) Ra Select Rb Select (b) Ia Select Select v Ib Select GO Tutorial 023 Submit Answer Save Progress l Practice Another Version

Explanation / Answer

GIven data
resistivity is = 1.5*10^-2 ·m,
L0 = 5.80 cm=0.580 m
battery =3 V

Ra= [(1.5*10^-2)(4)(0.0580)]/[(2)(0.0580*0.0580)]
= 0.348*10^-2/6.728*10^-3=0.5172

Rb= [(1.5*10^-2)(.0580)]/[(2)(4)(.0580*.0580)]= .03232

Rc= [(1.5*10^-2)(2)(.0580)]/[(4)(.0580*.0580)]
= 0.174*10^-2/0.0134=.129

Ia= 3/.5172= 5.8A

Ib= 3/.0323= 92.879A

Ic= 3/.129= 23.255A

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