CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2000

  • question_answer
    Two capacitors of capacitance \[{{C}_{1}}\]and \[{{C}_{2}}\]are charged to potentials \[{{V}_{1}}\]and\[{{V}_{2}}\] respectively.  When  they  are connected in parallel the ratio of their respective charges will be:

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

    B) \[\frac{C_{1}^{2}}{C_{2}^{2}}\]

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

    D) \[\frac{V_{1}^{2}}{V_{2}^{2}}\]

    Correct Answer: A

    Solution :

     Given: Capacitances of capacitors are\[{{C}_{1}}\]and \[{{C}_{2}}\]and potentials of the capacitors are\[{{V}_{1}}\]and \[{{V}_{2}}\] When the capacitors are connected in parallel then potential is same across each capacitors, but the charges are different. As it is from the formula for the charge on a capacitor is given by \[Q=CV\propto C\]                 Hence, \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{C}_{1}}}{{{C}_{2}}}\]


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