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

  • question_answer
    If three resistors of resistance 2W, 4W and 5 W are connected in parallel then the total resistance of the combination will be [Pb. PMT 2004]

    A)         \[\frac{20}{19}\Omega \]

    B)         \[\frac{19}{20}\Omega \]

    C)         \[\frac{19}{10}\Omega \]

    D)         \[\frac{10}{19}\Omega \]

    Correct Answer: A

    Solution :

                                     \[\frac{1}{{{R}_{eq}}}=\frac{1}{{{R}_{1}}}+\frac{1}{{{R}_{2}}}+\frac{1}{{{R}_{3}}}\]\[=\frac{1}{2}+\frac{1}{4}+\frac{1}{5}\]\[=\frac{19}{20}\]Þ\[{{R}_{eq}}=\frac{20}{19}\,\Omega \]


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