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Question

The electric field in a region is directed outward and is proportional to the distance r from the origin. Taking the electric potential at the origin to be zero,
  1. it is uniform in the region
  2. it is proportional to r
  3. it increases as one goes away from the origion
  4. it is proportional to r2

A
it is proportional to r
B
it increases as one goes away from the origion
C
it is proportional to r2
D
it is uniform in the region
Solution
Verified by Toppr

Electric field is directly propotional to r, therefore
E=kr
We know that
V=r0E.dr
which gives
V=kr22 since V at r=0 is 0
Hence V is proportional to r2

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