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Capacitance of parallel plate capacitor is …

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Capacitance of parallel plate capacitor is 50PF and distance between plates is 4mm it is charged to 200V and charging battery is removed Now a dielectric slab (k=4) of thickness 2mm is introduced between plates find the final charge and potential difference between plates also find energy loss
  • 1 answers

Sia ? 4 years ago

Given:

  • Capacitance of a parallel plate 
  • Distance between the plates 
  • Voltage 
  • Thickness of slab 
  • Dielectric constant 

 

To Find:

(i) final charge on each plate

(ii) finial potential difference between the plates

(iii) final energy is the capacitor

 

Solution:

Capacitance is given by

     

When dielectric slab constant is introduced

Capacitance is given by

   

  

putting the value of 

   

     

  

Now,

(i) final charge on each plate

        

        

        

        

Thus, the final charge  

 

(ii) finial potential difference between the plates

After charging the battery we removed the battery so the charge will remains same

        

          

         

         

         

(iii) final energy is the capacitor

         

         

         

Thus,  Final energy of the capacitor  

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