Given below are seven arrangements of two electric charges. In each figure, a po

Question

Given below are seven arrangements of two electric charges. In each figure, a point labeled P is also identified. All of the charges are the same size, q, but they can be either positive or negative. The charges and point P all lie on a straight line. The distances between adjacent items, either between two charges or between a charge and point P, are all d. There are no other charges in this region. For this problem there is no charge at point P. Rank these arrangements, from greatest to least, on the basis of the electric potential at point P. That is, put first the arrangement that will have the greatest electric potential, and put last the arrangement that will have the least electric potential. Note that -3

Explanation / Answer

We know that the potential is = kq/r
where r is distance and q is charge .
Now we will calculate the potential of each case.
A) since both charge are negative therefore
= k(-q) /d + k(-q) /d = -2kq/d
(B) For Arrangement B
kq/2d + k(-q)/d = -kq/2d
(C) for arrangement C
k(-q)/d + kq/d = 0
(D) kq/d + (kq /2d) = (3/2)(kq/d )
(E) -kq/d + (-kq/2d) = -(3/2)(kq/d)
(F) kq/d + kq/d = (2kq/d)
(G) kq/d + (-kq/2d) = kq/2d
now we arrange them according to rank
F having the highest , then
D , then
G , then
C , then
B , then
E , then
A
Hence this will be the order .

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