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The plates of a parallel plate capacitor...

The plates of a parallel plate capacitor are pulled apart with a velocity `v`. If at any instant their mutual distance of separation is `x`, then magnitude of rate of change of capacitance with respect to time varies as

A

`(1)/(d)`

B

`(1)/(d^(2))`

C

`d^(2)`

D

d

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The correct Answer is:
B
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Knowledge Check

  • An ideal cell is connected across a capacitor as shown in figure. The initial separation between the plates of a parallel plate capacitor is d. The lower plate is pulled down with a uniform velocity v. Neglect the resistance of the cirucit. Then the variation of charge on capacitor with time is given by

    A
    B
    C
    D
  • A parallel plate capacitor is charged. If the plates are pulled apart

    A
    the potential difference increases
    B
    the capacitance increases
    C
    the total charge increases
    D
    the charge and the potential difference remain the same
  • A parallel plate capacitor of area ‘A’ plate separation ‘d’ is filled with two dielectrics as shown. What is the capacitance of the arrangement ?

    A
    `(3K epsi_0 A)/(4d)`
    B
    `(4K epsi_0 A)/(3d)`
    C
    `((K+1) epsi_0 A)/(2d)`
    D
    `(K(K+3) epsi_0 A)/(2(K+1) d)`
  • RESONANCE-CAPACITANCE-Exercise - 2
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    2. Choose Graph between potential and time for an isolated conductor of...

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    4. Two spherical conductors A(1) and A(2) of radii r(1) and r(2) are plac...

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    7. A network of uncharged capacitors and resistances is as shown C...

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    8. (i) A 3mu F capacitor is charged up to 300 volt and 2mu F is charged u...

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    9. (ii) If instead of this, the plates of opposite polarity were joined ...

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    10. In the circuit shown in figure, the capacitors are initially uncharged...

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    11. Six capacitors each of capacitance 'C' is connected as shown in the ...

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    12. The equivalent capacitance between point A and B is

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    13. In the arrangement of the capacitor shown in the figure, each C(1) cap...

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    14. In the arrangement of the capacitor shown in the figure, each C(1) cap...

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    15. In the arrangement of the capacitor shown in the figure, each C(1) cap...

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    16. A combination arrangement of the capacitors is shown in the figure ...

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    17. A combination arrangement of the capacitors is shown in the figure ...

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    18. The V versus x plot for six identical metal plates of cross-sectiona...

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