Q.

Four point charges -1μC, -2μC, 3μC and -2μC are arranged on the four vertices of a square of side 1 cm. The dipole moment of this charge assembly is

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a

zero

b

2×108 C.m 

c

22×108 C.m 

d

2×108 C.m 

answer is B.

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Detailed Solution

p=qiri

We can rearrange the charges to form three dipoles with charges as  (-2 and +2) ,(+1 and 1) and (-1 and +1) with first and third in opposite direction and second one is perpendicular to them.

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q = 1 μC P = 1 μC × 0.01 = 0.01 μCm Net dipole moment, Pnet = 2×0.01 μCm = 2×108 C.m 

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