A metal cube of edge 2 cm is drawn into auniform w...

A metal cube of edge 2 cm is drawn into auniform wire of length 2 m. Then the wire is cut into 3 pieces ofequal length and the pieces are connected in parallel. What is theeffective resistance of the combination ? The resistivity of themetal is ? = 0.5 x 10-6 ?-m.
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    Answers ( 1 )

    1. dylan martin
      dylan martin
      The volume of cube V = side3
      volume of cube = volume of cyclinder
                             = A * h
              Area of wire A= side3 / h
                                    = 4*10-6 m
      The Resistance of the wire R = ?l / A =0.25?
      The wire is cut into three pieces of equallength
      Therefore, R1 = R2 = R3= ( ?l / 3 ) / A
      Taking the ratios
                                R /  R1 = 3
                                  0r  R1= R / 3 = 8.33*10-2?
      When three such wires are connected in parallel
                                   Req = R1 / 3
                               0r Req = 2.78*10-2?

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