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Physics Semester 2  STPM  Chapter 14 Electric Current
              Answer:
                                                            Exam Tips
                             ρL    ρ                        Exam Tips
                 (a)  (i)  R x  =   Lt   =   t
                         The resistance is independent of L  Formula used:
                                                                      ρl
                         but dependent on t.                       R =   A
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                             ρt
                     (ii)  R y  =
                             L 2
                         The resistance is dependent on L and t.
                             ρL    ρ
                     (iii)  R z  =   Lt   =   t
                         The resistance is dependent on t but independent of L.
                         ρt           ρt
                 (b)  R 1  =   L 2    ,  R 2  =  (2L) 2
                                      ρt
                                   =  4L 2
                             ρt    L 2
                        R 2
                     \      =   2  ×
                        R 1  4L    ρt
                             1
                           =
                             4

               Section  C    Essay Question
              Question 7

                (a)  What is meant by resistivity and conductivity of a substance?   [2]
         Semester
         2      (b)  Show that the conductivity of a substance σ =   ne τ .  [5]
                                                           2
                                                          m
                (c)  The conductivity of a copper wire decreases with increasing temperature
                    but the conductivity of a sample of pure silicon increases as temperature
                    rises. Explain the dependence of conductivity on temperature for copper
                    and silicon.                                            [5]
                (d)  State the effects of temperature change on the resistivity of conductors,
                    semiconductors and superconductors.                     [3]



              Answer
                 (a)  Resistivity of material, ρ =  RA  ,  R = resistance of a wire of that material
                                            l
                                                A = cross-sectional area of the wire
                                                l  = length of the wire
                                             1
                     Conductivity,  σ =   resistivity, ρ of materials



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         014 STPM Q&A Physics T2.indd   236                                  17/02/2022   10:12 AM
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