J & K CET Engineering J and K - CET Engineering Solved Paper-2011

  • question_answer
    A capacitor of capacitance \[{{C}_{1}}\] is charged to a potential V and then connected in parallel to an uncharged capacitor of capacitance \[{{C}_{2}}\].The final potential difference across each capacitor will be

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

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

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

    D)  \[1-\frac{{{C}_{2}}}{{{C}_{1}}}\]

    Correct Answer: A

    Solution :

    If two capacitors having capacitance \[{{C}_{1}}\] and \[{{C}_{2}}\] respectively are connected in parallel, then \[{{C}_{eq}}={{C}_{1}}+{{C}_{2}}\] The final potential difference across each capacitor \[V'=\frac{{{C}_{1}}V}{{{C}_{1}}+{{C}_{2}}}\]


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