Page 120 - Physics - XII
P. 120

Investigatory Projects
                                         Investigatory Projects





                                                          PROJECT - 1

              Aim
              To study various factors on which the internal resistance/E.M.F. of a cell depends.

              Apparatus and Materials Required
              A voltaic cell, a voltmeter, a resistance box, two one-way keys, connecting wires, a potentiometer, a rheostat

              of low resistance, a galvanometer, an ammeter, a battery, a high resistance box, a jockey, and sand paper.
                                         R    K
                                        RB     2
                        E                 1             RB
                      –    +       + –                     2                                    Scale for measuring
                                     E             K    G                                       distance between plates
                 A                    1              3      P
                           B
                                                   J                                                  Scale for measuring
                 K 1                                                                                  depth up to which
                                                                                                      plates are dipped
            Rheostat                                                    Cu plate                     Zn plate
            (Rh)
                          A                                      1 M H SO  (sol.)
               Fig. 1.1:  Circuit diagram for measuring internal       2  4
                        resistance of cell using potentiometer                   Fig. 1.2:  Voltaic cell

              Principle/Theory

              Internal resistance of a cell: The resistance off ered by the electrolyte to the passage of current through the
              interior of the cell is called the internal resistance of the cell. It is denoted by the symbol ‘r’.

              Electromotive force (e.m.f.) of a cell (E): The potential diff erence across the two terminals of the cell in
              an open circuit (when no current is drawn from the cell) is called e.m.f. of a cell. It is denoted by E.
              Factors on which the internal resistance of a cell depends: Internal resistance of a cell depends upon

              the following factors:
               (i)  Distance between the electrodes: Internal resistance (r) of a cell is directly proportional to the
                   distance (d) between the two electrodes of the cell, i.e. the length of the electrolyte through which the
                   current fl ows, i.e.
                                           r ∝ d
               (ii)  Common area of the electrodes: Internal resistance (r) of a cell is inversely proportional to the
                   common area (A) of the two electrodes dipping in the electrolyte, i.e.

                                                      1
                                                  r ∝
                                                      A




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