12th Class Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank MCQ - Current Electricity

  • question_answer
    The current in a wire varies with time according to the equation\[l=4+2t\], where, l is an ampere and f is in second. The quantity of charge which has to be passed through a cross-section of the wire during the time t =2s to t = 6s is:

    A) 40 C                

    B) 48 C   

    C) 38 C                            

    D) 43 C

    Correct Answer: B

    Solution :

    (b) 48 C Let dq be the charge which passes in a small interval on time dt. Then \[dp=ldt\]or \[dp=\left( 4+2t \right)\,dt\] On integrating, we get \[q=\int_{2}^{6}{\left( 4+2t \right)}\,dt=\left[ 4t+{{t}^{2}} \right]_{2}^{6}=48C\]


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