We have a large region of space that has a uniform electric field in the + x dir

Question

We have a large region of space that has a uniform electric field in the + x direction. At the point (0,0) meters, the electric field is 30 N/C and the electric potential is 100 Volts.

Rank the points specified below on the basis of the change in the electric potential energy of a single negative charge of -5 C that is moved from the origin (0,0) to these particular points. That is, put first the point that will involve the largest change in electric potential energy as the charge is moved from (0,0) to that point, and put last the point that will involve the smallest change in electric potential energy as the charge is moved from (0,0) to that point.

A. (0,6) meters

B. (0,3) meters

C. (-3,6) meters

D. (3,6) meters

E. (3,3) meters

F. (6,6) meters

Explanation / Answer

potenatil aenergy U = Vq

also here V   = Ed

so

EPE = Edq

EPE is largest for large value of d
so

d of A   = 0^2 +6^2 = 6

d of B = 0^2 +3^2 = 3

d of C = 3^2 + 6^2 = 6.708

d of D = 3^2 + 6^2 = 6.708

d of E = 3^2 +3^2 = 4.24

d of F = 6^2 +6^2 = 8.48    

order of EPE from largest tp smallest is

F > D=C > A.>E>B

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