Punjab Medical Punjab - MET Solved Paper-2007

  • question_answer
    Two identical capacitors A and B are charged to the same potential V and are connected in two circuits ate = 0, as shown in figure. The charge on the capacitors at timer = CR are respectively

    A) \[VC,\,VC\]                        

    B) \[\frac{VC}{e},\,\,VC\]

    C) \[VC,\,\,\frac{VC}{e}\]                 

    D) \[\frac{VC}{e},\,\,\frac{VC}{e}\]

    Correct Answer: B

    Solution :

    Time \[t=CR\] is known as time constant. It is time in which charge on the capacitor decreases to \[\frac{1}{e}\] times of its initial charge (steady state charge). In figure (i) p-n junction diode is in forward bias, so current will flow in the circuit, ie, charge on the capacitor decrease and in time to it becomes\[Q=\frac{1}{e}({{Q}_{0}})\]. where\[{{Q}_{0}}=CV\]and\[Q=\frac{CV}{e}\] In figure (ii) \[p-n\] junction diode is in reverse bias so no current will flow through the circuit hence charge on capacitor will not decay and it remains same ie, \[CV\]after time\[t\].


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