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An Uncharged capacitor C is connected to...

An Uncharged capacitor `C` is connected to a battery through a resistance `R`. Show that by the time the capacitor gets fully charged, the energy dissipated in ``R is the same as the energy stored in `C`.

Text Solution

Verified by Experts

The correct Answer is:
A
Charge supplied by the battery
`q=CV`
Energy supplied by the battery
`E=qV=CV^2`
Energy stored in the capacitor
`U=1/2CV^2`
`:.` Energy dissipated across `R` in the form of heat
`=E-U=1/2CV^2=u`
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Knowledge Check

  • An uncharged capacitor is connected to a battery. On charging the capacitor

    A
    All the energy supplied is stored in the capacitor
    B
    Half the energy supplied is stored in the capacitor
    C
    The energy stored depends upon the capacity of the capacitor only
    D
    The energy stored depends upon the time for which the capacitor is charged

  • In a charged capacitor, the energy is stored in

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    the negative charges
    B
    the positive charges
    C
    the field between the plates
    D
    both 'a' and 'b'

  • In a charged capacitor the energy is stored in

    A
    positive charge
    B
    both in positive and negative charge
    C
    the electric field between the plates
    D
    the edges of the capacitor plates

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