Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from the centre O is represented by: Image
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Question

Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from the centre O is represented by: Image

G1 Physics · Accepted Answer

For a uniformly charged insulating solid sphere of radius R: Inside the sphere, r < R: E = ρr/(3ε₀) so E ∝ r. Outside the sphere, r > R: E = kQ/r² so E ∝ 1/r². The field is continuous at r = R. Hence the graph that rises linearly inside and then falls as 1/r² outside is option D.