ElectrostaticsHard
Question
A non-conducting solid sphere of radius R is uniformly chaged. The magnitude of the electric field due to the sphere at a distance r from its centre :
Options
A.increase as r increases for r < R
B.decreases as r increases for 0 < r < ∞
C.decreases as r increases for R < r < ∞
D.is discontinuous at r = R
Solution
Inside the sphere
⇒ E ∝ r for r ≤ R
i.e, E at centre = 0 as r = 0
and E at surface
as r = ROutside the sphere
for r ≥ R or 
Thus, variation of electric (E) with distance (r) from the centre will be as shown
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