AMU Medical AMU Solved Paper-2011

  • question_answer
    Two identical capacitors \[{{C}_{1}}\]and \[{{C}_{2}}\]are connected as shown in the figure with a battery B. A dielectric slab is slipped between the plates of the capacitor \[{{C}_{2}},\]the battery remaining connected. Consider the following changes in the charges on the capacitors and the potential difference across their plates (i) increase in the value of charge on \[{{C}_{1}}\] (ii) increase in the value of charge on \[{{C}_{2}}\] (iii) increase in the value of potential difference across the plates of \[{{C}_{1}}\] (iv) decrease in the value of potential difference across the plates of \[{{C}_{3}}\] Which of the above is true?

    A)  (i), (ii), (iii) and (iv)         

    B)  (ii) only

    C)  (ii) and (iv)                        

    D)  (i) and (iv)

    Correct Answer: B

    Solution :

                     If a dielectric medium of dielectric constant fc is filled completely between the plates then capacitance increases by fc times                                 \[C=\frac{k{{\varepsilon }_{0}}A}{d}\] \[\Rightarrow \]               \[C=kQ\]and charge \[Q=kQ\] \[\therefore \] Increase in the value of charge on \[{{C}_{2}}\].


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