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

  • question_answer
    The equivalent resistance and potential difference between A and B for the circuit is respectively            [Pb. PMT 2003]

    A)         4 W, 8 V

    B)                        8 W, 4 V

    C)         2 W, 2 V                          

    D)         16 W, 8 V

    Correct Answer: A

    Solution :

                                             The equivalent resistance between C and D is                    \[\frac{1}{R'}=\frac{1}{6}+\frac{1}{6}+\frac{1}{3}=\frac{2}{3}\]  or          \[R'=\frac{3}{2}=1.5\,\Omega \] Now the equivalent resistance between A and B as \[R'=1.5\,\Omega \] and \[2.5\,\Omega \] are connected in series, so \[R''=1.5+2.5=4\,\Omega \] Now by ohm's law, potential difference between A and B is given by \[{{V}_{A}}-{{V}_{B}}=iR=2\times 4.0\]\[=8\,\,volt\]


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