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CBSE Class 12-science Answered

Prove   that  in  case of  a  DIELECTRIC  SLAB  net  electic  field  inside  the  dielectric  is  not  equal to  ZERO
Asked by pardeepkumar2281 | 18 May, 2018, 09:29: PM
answered-by-expert Expert Answer
Fig.(a) shows the parallel plate capacitor without dielectric. Electric field E0 is given by gauss's law
hence E0 = q/(ε0A)  ................................(1)
 
when dielectric present, as shown in fig.(b), Gauss's law gives
then electric field E is given by
 
E = (q-q') / (ε0A) ...................................(2)
 
-q' is the induced charge in dielectric. Presence of dielectric reduces the electric field by K, where K is dielectric constant.
 
then using eqn.(1)  we write,    E = E0 / K   =   q/(K ε0 A)   ...............(3) 
 
Substitute for E in eqn(2)  using eqn.(3), we get q' = q [1 - (1/K) ]...................(4)
 
Hence in presence of dielectric material,   (q-q') > 0  ................(5)
using eqn.(5) in eqn(2), then we can write electric field in presence of dielectric  E > 0
 
 
Answered by Thiyagarajan K | 20 May, 2018, 03:33: PM

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