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

  • question_answer
    Two wires of the same dimensions but resistivities \[{{\rho }_{1}}\text{ and }{{\rho }_{2}}\] are connected in series.  The equivalent resistivity of the combination is                                  [KCET 2003]

    A)         \[{{\rho }_{1}}+{{\rho }_{2}}\]                                  

    B)         \[\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\]

    C)         \[\sqrt{{{\rho }_{1}}{{\rho }_{2}}}\]                       

    D)         \[2({{\rho }_{1}}+{{\rho }_{2}})\]

    Correct Answer: B

    Solution :

                                             \[{{R}_{eq}}={{R}_{1}}+{{R}_{2}}\]Þ\[\frac{{{\rho }_{eff.2l}}}{A}=\frac{{{\rho }_{1}}l}{A}+\frac{{{\rho }_{2}}l}{A}\]\[\Rightarrow \,{{\rho }_{eff.}}=\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\].


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