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A capacitor of capacitance C charged by ...

A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are

A

`(Q)/(3), (2Q)/(3)`

B

`(Q)/(2), (Q)/(2)`

C

`(Q)/(5), (4Q)/(5)`

D

`(Q)/(4), (3Q)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) : Charge will be distributed between them in proportion to their capacity as they have equal potential.
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Knowledge Check

  • A capacitor of capacitance C is charged by connecting it to a battery. The battery is now removed and this capacitor is connected to a second uncharged capacitor of capacitance C' . If the charge distributes equally on the two capacitors, the ratio of the total energy stored in the capacitors after connection to the total energy stored in them before connection is :

    A
    1
    B
    `1//2`
    C
    `1//sqrt(2)`
    D
    `1//3`

  • Two parallel plate capacitors of capacitance C and 2C are connected in parallel and charged to a potential difference V by a battery. The battery is then disconnected and the space between the plates of capacitor C is completely filled with a material of dielectric constant K. The potential difference across the capacitors now becomes :

    A
    `V/(K+1)`
    B
    `(2V)/(K+2)`
    C
    `(3V)/(K+2)`
    D
    `(3V)/(K+3)`

  • A capacitor of capacitance of 10 mu F is charged to 10 V. The energy stored in it is :

    A
    `1 mu J `
    B
    `100 mu J `
    C
    `500 mu J `
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