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Q.

In the figure shown capacitors A and B of capacitance C each are in steady state. A dielectric slab of dielectric constant K = 2 and dimensions equal to the inner dimensions of the capacitor is inserted in the space between the plates of the capacitor B. Choose  the correct options(s).

 

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a

In the process of inserting the dielectric, the energy in the capacitor A increases by an amount of  7CE272

b

In the process of inserting the dielectric, energy of the cell decreases by an amount of  CE26

c

Charge on each capacitor will increases by CE / 6

d

In the process of inserting the dielectric, energy of the cell increases by an amount of  CE26

answer is A, B, D.

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Detailed Solution

Initially, QA=QB=CE2,  

when dielectric is inserted. 
Q'A=Q'B=2CE2

   ΔQ=2CE3CE2=CE6
Work done by battery =   CE6×E=CE26

UfUt = 12C(E2)2-12C(2E3)2

=7CE272
 

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