Q. 5

The electric field at 2R from the centre of a uniformly charged non-conducting sphere of radius R is E. The electric field at a distance R/2 from the centre will be

(a) Zero

(b) 2E

(c) 4E

(d) 16E

Answer :

Let the total charge on the sphere be = Q.

The sphere is uniformly charged.


Let,


Charge density = ρ


... (1)


The electric field at a distance 2 R due to the sphere = E


... (2)


To Find: Electric field at a distance R/2 from the centre of sphere = E1


First, we find the charge enclosed within the sphere of radius R/2.


Q1 = charge enclosed











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