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Current electricity

           The internal resistance of the battery is   means that the external loop is made up
           different from that of a single cell. In this   of 3 batteries, each with a voltage of 3
           case, the internal resistances of four cells   V. The total voltage (across AB) is the
           are parallel, as shown in Figure 2.57. As   same as that of a single battery (3 V).
           a result, the total  internal  resistance  is
           given by,                                  Cell defects
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                 1  =  1  +  1  +  1  +  1            When  the  simple  cell  is  in  operation,

                 r T  r 1  r 2  r 3  r 4              the  current  drops to  a  very  small  value
                 1    1    1    1    1    4      after some time. A simple cell  has two
                 r T  1    1   1     1    1      main defects which cause the current to

                 1    4                              diminish quickly when the cell is being
                                                      used. These defects are local action and
                 r T  1                              polarization.

                 r   0.25 
                 T
                                                      Local action
           Thus, the battery has an e.m.f. of 1.5 V   The local action of a cell  is the
           and an internal resistance of 0.25.       deterioration of the battery due to currents
                                                      that  are  flowing  from  and  to  the  same

                Example 2.7                           electrode.  The deterioration  is caused
                                                      by embedded impurities  such as iron,
            Determine the voltage across AB in the    lead and carbon in a zinc electrode. The
            circuit shown in Figure 2.58.             impurities act as positive electrodes and

                                                      create electric currents between zinc and
                                                      this positive (impurities) electrode. Local

                  15 v        15 v        15 v        action can be reduced by using pure zinc
                                                 A    or by rubbing mercury on the zinc plate to
                                                      form an amalgam.
                                                 B
                  15 v        15 v        15 v        Polarization

                                                      Polarization  is a defect that occurs
                                                      in simple electric  cells due to the
                                                      accumulation  of hydrogen gas around
                          Figure 2.58
                                                      a positive electrode.  The hydrogen gas
            Solution                                  produced in chemical reactions inside the
            Note that,  all  the internal  loops are   cell can accumulate around the electrodes
            connected in series while the external    resulting in insulation. Polarization in cells
            loops are connected in parallel.          can be minimized using depolarizers such
                                                      as potassium dichromate  or manganese
            For the internal loops, the total voltage   oxide, which oxidizes hydrogen to water.
            in each loop = (1.5 + 1.5) V = 3 V. This   Simple cells, Daniel and Leclanché cells,


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     Physics Form 2 Final.indd   83                                                         25/10/2025   10:26
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