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# 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,it is uniform in the regionit is proportional to rit increases as one goes away from the origionit 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
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#### Electric field is directly propotional to r, thereforeE=krWe know thatV=−∫r0−→E.→drwhich gives V=−kr22 since V at r=0 is 0Hence V is proportional to r2

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