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Question

Physics Question on Electric charges and fields

A charge QQ is distributed uniformly in a sphere (solid). Then, the electric field at any point rr, where, r<R(rr < R(r is the radius of sphere) varies as:

A

r1/2r^{1/2}

B

r1r^{-1}

C

rr

D

r2r^{-2}

Answer

rr

Explanation

Solution

Electric field intensity at a point inside the sphere
E=Q4πε0RrE=\frac{Q}{4 \pi \varepsilon_{0} R} r
Er\therefore E \propto r