Uttarakhand PMT Uttarakhand PMT Solved Paper-2007

  • question_answer The work done in increasing the voltage across the plates of a capacitor from 5V to 10 V is W. The work done in increasing the voltage from 10 V to 15V will be

    A)  \[W\]

    B)  \[\frac{4W}{3}\]

    C)  \[\frac{5W}{3}\]

    D) \[2W\]

    Correct Answer: A

    Solution :

     Work done \[W=\frac{1}{2}CV\] \[\Rightarrow \] \[W=\frac{1}{2}C({{V}_{2}}-{{V}_{1}})\] \[\Rightarrow \] \[W=\frac{1}{2}C(10-5)=\frac{5}{2}C\]         ...(i) Also,   \[W=\frac{1}{2}C(5-10)\] \[\Rightarrow \] \[W=\frac{5}{2}C\]                        ...(ii) From Eqs. (i) and (ii), we get \[W=W\]

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