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Physics Semester 2  STPM  Chapter 14 Electric Current

                 Section  C    Essay Question
                Question 7
                  A constant current of 2.0 A flows through a metal wire. Its diameter at end P is
                  smaller than the diameter at end Q as shown in the diagram.
                   (a)  V = IRPelangi Sdn Bhd. All Rights Reserved.

                                   I
                                       P                    Q


                  (a)  Calculate the potential difference across PQ if the resistance of the wire is
                      0.5 Ω.
                  (b)  Compare the
                      (i)  mean drift speeds of the electrons flowing through the cross section
                         at P and Q,
                      (ii)  current density at P and Q,
                      (iii)  on the axes below, sketch a graph of current density against the distance
                         along the wire from P.
                                               Current
                                               density



                                                 P       Q                            Semester
                  (c)  The current is increased by increasing the potential difference across the
                      wire. State the effects on the concentration and the drift velocity of the   2
                      charge carriers.                        Exam Tips


                Answer:
                                                              Exam Tips
          Penerbitan       at  P is greater than that at  Q. The   v =   nAe
                                                                    I
                         = 2(0.5) = 1.0 V

                   (b)  (i)  The mean drift speeds of electrons
                                                                    1
                                                               v ↑∝
                                                                   A↓
                           drift velocity increases as the cross-
                           sectional area decreases.
                                                                 A P  , A Q
                                                               \ v P  . v Q
                       (ii)  The current density at  P is greater

                                                                  I
                           than at  Q. The current density
                           increases as the cross-sectional area
                                                               J ∝
                           decreases.                          J =   A I
                                                                  A
                                                               A P  , A Q
                                                                 J P  . J Q
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         014 STPM Q&A Physics T2.indd   231                                  17/02/2022   10:12 AM
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