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Question

The capacitance of a parallel plate capacitor is C when the region between the plate has air. This region is now filled with a dielectric slab of dielectric constant k. The capacitor is connected to a cell of emf E, and the slab is taken out
  1. the energy stored in the capacitor is reduces by E2C(k1)
  2. energy E2C(k1) is absorbed by the cell
  3. the external agent has to do 12E2C(k1) amount of work to take the slab out
  4. charge CE(k1) flows through the cell

A
energy E2C(k1) is absorbed by the cell
B
charge CE(k1) flows through the cell
C
the energy stored in the capacitor is reduces by E2C(k1)
D
the external agent has to do 12E2C(k1) amount of work to take the slab out
Solution
Verified by Toppr

After inserting the dielectric the capacitance will be C=kC
The charge flow through the cell when the slab insert is Q=CE=kCE
The charge flow through the cell when the slab is taken out =Q=CE
Net charge flow through the cell Qn=QQ=kCECE=CE(k1)
The amount of work for taking out slab is W=12(CkE2CE2)=12CE2(k1)

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