201902190842 Electric field representation

The blogger claims no originality of his question posted here.

Think of a field in some representation other than a diagram of field lines. For instance, suppose any point in a field is assigned a number to its field strength magnitude, but the direction of field strength of each point is not indicated. Now, could we deduce a rough picture of the (vector) E-field from these (scalar) numbers, provided that we know the distribution of these numbers and the position of charges?

Visualizing_the_Efield_by_numbers_distribution

In the figure, A, B and C are charges of unknown charge quantities and sign. Each single-digit number at a point represents the magnitude of E-field strength at that point. For example, 6 stands for 6\,\mathrm{N/C}, 0 stands for zero E-field, i.e., a neutral point. By deducing from the figure, determine which of the following statements is/are correct.

(1) Charge quantity of A is larger than that of either B or C.
(2) Charge quantity of B equals charge quantity of C.
(3) Charge A is positive. Charge B and charge C are both negative.

A. (1) only
B. (2) only
C. (1) and (2) only
D. (1), (2), and (3)


Answer. D

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