NEET Sample Paper NEET Sample Test Paper-92

  • question_answer
    In the circuit shown, the internal resistance of the cell is negligible. The steady state current in the \[2\Omega \] resistor is

    A) 0.6 A   

    B)        0.9 A

    C) 1.2 A   

    D)        1.5 A

    Correct Answer: B

    Solution :

    [b]  Given Capacitance of the capacitor, C = 0.2 \[\mu F\] and e.m.f. of cell, E = 6V. Reactance of a capacitor for a cell, which is a DC source, is infinity. Therefore, no current a flows in \[4\Omega \] resistance. Resistances \[2\,\,\Omega \] and \[3\,\,\Omega \] (both in upper arm) are connected in parallel. Therefore, their equivalent resistance \[(R')=\frac{2\times 3}{2+3}=1.2\Omega \] Now, R' and \[2.8\,\,\Omega \] are in series combination. Therefore, equivalent resistance of the circuit, \[R=R'+2.8=1.2+2.8=4\,\Omega \] Current drawn in the circuit, \[I=\frac{E}{R}=\frac{6}{4}=1.5A\] Therefore, potential difference across \[2\,\,\Omega \] resistance, \[V=IR=1.5\times 1.2=1.8\,V\] Thus, current in \[2\,\,\Omega \] resistance \[({{I}_{1}})=\frac{V}{2}=\frac{1.8}{2}=0.9A\]


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