Page 27 - CHAPTER-1 (Electricity)
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CHAPTER 1

            ELECTRICITY


           K. The Resistance of a System of Resistors



           •  Two  or  more  resistors  can  be  connected  with  each  other  by


               different combinational methods in order to achieve the desired

               equivalent resistance in a particular circuit.

           •  There  are  a  couple  of  basic  methods  of  joining  the  resistors

               together, which are as given below:



           (i) Resistors in Series



            •  When two resistors or more than two are connected end to end to

               each other, then they are connected in series.

            •  The following figure shows the connection of resistors in series.

                                                                  
                                                                    
                                                    
                                                            
                                                                   
                                                                     
                                                    
                                                            










                                                      Fig 10:


          An applied potential    produces current    in the resistors and R , R  and
                                                                                                1
                                                                                                    2
          R  causing a potential drop V ,V  and V  respectively, through each
                                                     1
                                                        2
                                                                   3
            3
          resistor.
              Total potential, V=V +V +V
                                             2
                                                  3
                                         1
              By Ohm’s law, V =IR , V =IR  and V =IR
                                                                   3
                                                              3
                                                   2
                                          1
                                              2
                                    1
              Thus, V=V +V +V =IR +IR +IR
                           1
                                2
                                          1
                                                2
                                                     3
                                     3
               ⇒V=I(R +R +R )
                         1
                                  3
                             2

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