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
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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