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 = R
Outside 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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