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Q.

Electric field due to following configurations having charge density ρ

COLUMN - ICOLUMN - II
A)At any interior point inside infinite plane sheet of chargep)0
B)Infinite plane sheet of uniform thicknessq)ρ2ε0
C)Non-conducting charged solid sphere of radius R at its surfacer)Rρ3ε0
D)Non-conducting charge solid sphere of radius R at its centers)ρε0

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a

A-p,B-q,C-r,D-s

b

A-p,B-r,C-q,D-s

c

A-p,B-q,C-r,D-p

d

A-p,B-q,C-r,D-q

answer is C.

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Detailed Solution

 

A) At any interior point inside infinite plane sheet of charge E = 0

B) Net electric field at any point ρ due to infinite plane sheet of uniform thickness

Eρ=E1E2=ρd2+x2E0ρd2x2E0

E=ρxE0

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C) The intensity of electric field due to non conducting sphere E=14πϵ0QrR3

Interms of charge density E=14πϵ0ρ43πR3R3rE=ρr3ϵ0

on the surface r = R So E=ρR3ϵ0

D) When sphere is charged it lies only on external surface and the charge inside the sphere is zero so E = 0

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