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

  • question_answer
    Charge through a cross-section of a conductor is given by \[Q=5{{t}^{2}}-2t\]. It coulomb. Find the average current through the conductor in the interval \[{{t}_{1}}=2\,s\]to\[{{t}_{2}}=4\,s\].

    A) 14 A                            

    B) 28A   

    C) 56 A                            

    D) 7 A

    Correct Answer: B

    Solution :

    (b) 28 A Given,    \[Q=5{{t}^{2}}-2t\] \[Q\left( at\,t=2 \right)=5{{\left( 2 \right)}^{2}}-2\left( 2 \right)=20-4=16\,C\] \[Q\left( at\,t=4 \right)=5{{\left( 4 \right)}^{2}}-2\left( 4 \right)=80-8=72C\] Current,   \[l=\frac{\Delta Q}{\Delta t}=\frac{72-16}{4-2}=\frac{56}{2}=28\,A\]


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