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Capacitor plates are charged by a battery with ‘V’ volts. After charging the battery is disconnected and a dielectric slab with dielectric constant ‘K’ is inserted between its plates, -

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Question

Capacitor plates are charged by a battery with ‘V’ volts. After charging the battery is disconnected and a dielectric slab with dielectric constant ‘K’ is inserted between its plates, the potential across the plates of a capacitor will become ____________.

Options

  • Zero

  • V/2

  • V/K

  • KV

MCQ
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Solution

Capacitor plates are charged by a battery with ‘V’ volts. After charging the battery is disconnected and a dielectric slab with dielectric constant ‘K’ is inserted between its plates, the potential across the plates of a capacitor will become V/K.

Explanation:

The battery is disconnected

Q = Charge remains context

Cʹ = K C

Qʹ = Cʹ Vʹ

Q = Cʹ Vʹ

Q = K C Vʹ

`"V'" = "Q"/("K C") = "V"/"K"`

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