18. Derive an expression for the capacitance of parallel plate capacitor with a dielectric slab between its plates.

Dear student

Effect of Dielectric on the Capacitance of a Capacitor

We know that the effect of completely filling the space between the plates of a capacitor with a difference is to increase the capacitance to   C  =  K C_o  where K is the dielectric constant of the dielectric .

For a parallel plate capacitor ,

              C  =  K    =  

Here   = K is the permittivity of the dielectric .

If a dielectric slab of thickness 't' and dielectric constant K is introduced between the plates of a capacitor as shown in figure , the capacity is given by 

             C  =  .

 

 

 

 

 

We hope this clarifies your doubt.

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