1.

S_1 and S_2are two hollow concentric thin spherical shells enclosing charges Q and 2Q respectively as shown in What is the ratio of the electric flus through S_1 and S_2? (ii) How will the eletric flux through the shell S_1change, If a medium of dielectric constant 5 is introduced in the space inside S_1in place of air ? (##U_LIK_SP_PHY_XII_C01_E09_024_Q01.png" width="80%">

Answer»

SOLUTION :(i) According to Gauss.s law electric flux through spherical shell` S_1 `
`phi_1=(1)/(in_0) Q `
and flux through outer shell ` S_2 phi_2=(1)/(in_0)(Q+ 2Q)=(1)/(in_0).3Q `
` rArr "" (phi_1)/(phi_2) =(1)/(3) `
(ii)When a medium of DIELECTRIC constant K=5 is introduced in the space inside the shell `S_1 ` in place or AIR , flux through `S_1 ` will be modified to
` phi_1 =(1)/(in ) .Q =(1)/(K in _0)Q =(phi_1)/(5) i.e. `flux will be reduced to `(1)/(5)`th of its previous VALUE.


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