Dear Chegg experts, In the figure above are shown two settings of positive and n

Question

Dear Chegg experts,

In the figure above are shown two settings of positive and negative charges. The setting on the left has two positive charges; the setting on the right has one negative charge and one positive charge. Each of the charges has the same magnitude.

Question:  In each setting, two positions are labeled. If a test charge were to measure the field at each position, rank the magnitude of the electric force the charge would measure at the four places from highest (rank 1) to lowest.

Objective: rank the magnitude of the electric force the charge would measure a the four places from highest (rank 1) to lowest.

Explanation / Answer

at B, field will be zero. (magnitude of field due to both charges will be same but direction will be opposite hence cancels out)

at D, field strength will double of strength due to a single charge (say E)

then at D, Enet = 2E

At A, field due to each charge will be E' (E' < E)

then Ea = sqrt(E'^2 + E'^2) = sqrt(2) E'

similarly at C, Ec = sqrt(2) E'

D > A = C > B

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