JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Electric Conduction Ohms and Resistance

  • question_answer
    A source of e.m.f. E = 15 V and having negligible internal resistance is connected to a variable resistance so that the current in the circuit increases with time as i = 1.2 t + 3. Then, the total charge that will flow in first five second will be                                                            [Kerala PMT 2004; J & K CET 2004]

    A)            10 C

    B)                                      20 C

    C)                    30 C

    D)            40 C

    Correct Answer: C

    Solution :

                 \[i=\frac{dQ}{dt}\] Þ \[dQ=idt\] Þ  \[Q=\int_{\,{{t}_{1}}}^{\,{{t}_{2}}}{i}\,dt=\int_{0}^{5}{(1.2t+3)\,}dt\] \[=\left[ \frac{1.2{{t}^{2}}}{2}+3t \right]_{0}^{5}=30C\]   


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