A parallel plate capacitor having capacitance 12   pF is charged by a battery to a potential…

A parallel plate capacitor having capacitance 12pF is charged by a battery to a potential difference of 10V between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant 6.5 is slipped between the plates. The work done by the capacitor on the slab is
  1.  560 pJ
  2. 600 pJ
  3. 508 pJ
  4. 692 pJ

Solution

Initial energy of capacitor

Ui=12q2c
=12×120×12012=600 pJ

Since battery is disconnected so charge remain same. Final energy of capacitor

 Uf=12q2c k

=12×120×12012×6.5=92 pJ

W+Uf=Ui 
W=508 pJ

Asked in: JEE Main 2019 (10 Jan Shift 2)

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