Page 50 - CHAPTER-1 (Electricity)
P. 50

CHAPTER 1

                                                                                       ELECTRICITY


                   Ans.The resistance of each bulb, r =               V 2 = (220) 2  =4840Ω
                                                                      P     10

                   The total resistance in the circuit, R =            220V  =44Ω
                                                                         5A
                   Let  n  be  the  number  of  bulb  (each  of  resistance  r)  to  be

                   connected in parallel to obtain a resistance R.

                                                 r
                                       
                   Clearly,  R =    or  n =  =      4840Ω   =110
                                                R     44Ω
              6.  A hot plate of an electric toaster connected to a 220 V line has two

                   resistance coils, each of  24Ω resistance,  named  A and B. These

                   coils may be used separately, in parallel, or in series. Compute the

                   currents in the three cases?


                   Ans. Here, potential drop, V = 220 V

                   The resistance of both the coils, r = 24   


                   (i) If we connect each of the coils A or B, separately, the current

                   through each coil, i.e.,

                       V
                   I =  =  220V  =9.2A
                        r   24Ω

                   (ii)  When  the  coils  A  and  B  are  joined  in  parallel  combination,

                                                                           r
                   equivalent resistance in the circuit,R  =  =                24Ω  =12Ω
                                                                      p
                                                                           2
                                                                                 2
                                                                                           V
                   Current through the parallel combination, i.e., I  =                   R p  = 220V =18.3A
                                                                                     p
                                                                                                12Ω
                   (iii)  When  the  coils  A  and  B  are  joined  in  series  combination,

                   equivalent resistance in the circuit,


                   R  = r + r = 2r = 48  
                     s
                                                                                        V
                   Current through the series combination, i.e., I  =  =                    220V  =4.6A
                                                                                   s
                                                                                       R
                                                                                            48Ω
                                                                                         s










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