JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Grouping of Resistances

  • question_answer
    By using only two resistance coils-singly, in series, or in parallel one should be able to obtain resistances of 3, 4, 12 and 16 ohms. The separate resistances of the coil are [KCET 2005]

    A)         3 and 4

    B)                        4 and 12

    C)         12 and 16                       

    D)         16 and 3

    Correct Answer: B

    Solution :

                                             When resistances \[4\Omega \] and \[12\Omega \] are connected in series \[=4+12=16\Omega \] When these resistance are connected in parallel. \[\frac{1}{{{R}_{P}}}=\frac{1}{4}+\frac{1}{12}\,\,\,\Rightarrow \,\,\,{{R}_{P}}=\frac{4\times 12}{4+12}=\frac{4\times 12}{16}=3\Omega \]


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