JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर JEE PYQ-Current Electricity Charging and Discharging of Capacitors

  • question_answer
    In a circuit for finding the resistance of a galvanometer by half deflection method, a 6V battery and a high resistance of\[11\,k\Omega \] are used. The figure of merit of the galvanometer \[60\mu A/division.\]In the absence of shunt resistance, the galvanometer produces a deflection of\[\theta =9\]divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of \[\theta /2,\] is closest to [JEE Main Online 16-4-2018]

    A) \[55\Omega \]

    B) \[110\Omega \]

    C) \[220\Omega \]

    D) \[550\Omega \]

    Correct Answer: B

    Solution :

    [b] (i) r is not there.
    \[I=9\times 60\mu A\]
    \[\frac{6}{11000+G}=540\times {{10}^{-6}}\]
    \[G=\frac{1000}{9}\]
    (ii) \[G=\frac{RS}{R-S}\]
    \[\frac{1000}{9}=\frac{11000S}{11000-S}\]
    This gives S = 110


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