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Question

Half of the space between the plates of a parallel-plate capacitor is filled with a dielectric material of dielectric constant K. The remaining half contains air as shown in the figure. The capacitor is now given a charge Q. Then

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This question has multiple correct options
A

An electric field in the dielectric-filled region is higher than that in the air-filled region

B

On the two halves of the bottom plate the charge densities are unequal

C

Charge on the half of the top plate above the air-filled part is

D

Capacitance of the capacitor shown above is , where is the capacitance of the same capacitor with the dielectric removed

Easy

Solution

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Correct option is
C

Charge on the half of the top plate above the air-filled part is

D

Capacitance of the capacitor shown above is , where is the capacitance of the same capacitor with the dielectric removed

Parallel
Capacitance of the capacitor shown above is
      
correct
Electric field in the dielectric-filled region is higher than that in the air-filled region - incorrect as
Charge on the half of the top plate above the air filled;
And, with air filled;
      Potential is same
  
  Charge on the half of the top plate above the air-filled part is - correct

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