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NEET Sample Paper NEET Sample Test Paper-41

  • question_answer
    A capacitor of capacity\[{{\operatorname{C}}_{1}}\], is charged by connected it across a battery of emf\[{{\operatorname{V}}_{o}}\]. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacites\[{{\operatorname{C}}_{2}}\]. The potential difference across this combination is

    A) \[\frac{{{C}_{2}}}{{{C}_{1}}+{{C}_{2}}}{{V}_{o}}\]                      

    B) \[\frac{{{C}_{1}}}{{{C}_{1}}+{{C}_{2}}}{{V}_{o}}\]

    C) \[\frac{{{C}_{1}}+{{C}_{2}}}{{{C}_{2}}}{{V}_{o}}\]                      

    D) \[\frac{{{C}_{1}}+{{C}_{2}}}{{{C}_{1}}}{{V}_{o}}\]

    Correct Answer: B

    Solution :

    battery is removed when it is fully charged \[\operatorname{Q}={{C}_{1}}{{V}_{o}}\] \[\operatorname{V} across combination =\frac{Q}{{{C}_{net}}}\] \[\operatorname{V}=\frac{{{C}_{1}}{{V}_{o}}}{{{C}_{1}}+{{C}_{2}}}\]


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