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

  • question_answer
    Three unequal resistors in parallel are equivalent to a resistance 1 ohm.  If two of them are in the ratio 1 : 2 and if no resistance value is fractional, the largest of the three resistances in ohms is                                         [EAMCET 2003]

    A)         4                                        

    B)         6

    C)         8                                        

    D)         12

    Correct Answer: B

    Solution :

                                             Two resistance are in ratio 1 : 2 and third resistance is R So, \[\frac{1}{x}+\frac{1}{2x}+\frac{1}{R}=1\Rightarrow x=\frac{3}{2}\left( \frac{R}{R-1} \right)\] As, resistance is not fractional Þ \[\frac{R}{R-1}=2\] Þ \[x=3,\,R=2,\,2x=6\]                                                    Hence, the value of largest resistance = 6W.


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