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Two identical capacitors are joined in p...

Two identical capacitors are joined in parallel, charged to a potential `V` and then separated and then connected in series i.e. the positive plate of one is connected to negative of the other

A

The charges on the free plates connected together are destroyed

B

The charges on the free plates are enhanced

C

The energy stored in the system increases

D

The potential difference in the free plates becomes `2 V`

Text Solution

Verified by Experts

The correct Answer is:
D

`Q_(1) = CV` and `Q_(2) = CV`
Applying charge conservation `CV_(1) + CV_(2) = Q_(1) + Q_(2)`
`CV_(1) + CV_(2) = 2CV rArr V_(1) + V_(2) = 2V`
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Knowledge Check

  • Six identical capacitors are joined in parallel, charged to a potential difference of 10 V, separated and then connected in series. Then the potential difference between the free plates is

    A
    10 V
    B
    30 V
    C
    60 V
    D
    `(10/6)V`
  • Two similar condensers are connected in parallel and are charged to a potential V. Now these are separated out and are connected in series. Then

    A
    the energy stored in the system increases
    B
    the potential difference between end points may becomes zero.
    C
    the potential difference between end points may becomes 2V.
    D
    the charge on the plates mutually connected nullifies.
  • Two identical capacitors were initially connected I parallel and both of them acquired a common potential V. If these capacitors are then separated and reconnected but this time in series, with the positive plate of one being connected to the negative of the other, then choose the true statement out of the following

    A
    The charges on the free plated connected together are destroyed
    B
    The energy stored in the system increases
    C
    The potential difference between the free plates is 2V.
    D
    The potential difference remains constant.
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