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Question

(B) For a regular hexagon,the electric field at the center is zero if the charges at diagonally opposite vertices are equal.In case $(I)$,all charges

Vedclass · Accepted Answer

$II$

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(B) For a regular hexagon,the electric field at the center is zero if the charges at diagonally opposite vertices are equal.In case $(I)$,all charges are $q$,so the field at the center is zero.In case $(III)$,the charges at diagonally opposite vertices are $(2q, q)$,$(q, q)$,and $(2q, 2q)$. Wait,looking at the diagram,$(III)$ has charges $(2q, 2q)$,$(q, q)$,and $(2q, 2q)$ at opposite ends,which results in zero field. In case $(II)$,the charges at diagonally opposite vertices are $(q, -q)$,$(q, q)$,and $(q, q)$. The pair $(q, -q)$ produces a non-zero field at the center.In case $(IV)$,the charges at diagonally opposite vertices are $(2q, q)$,$(q, 2q)$,and $(q, 2q)$. This also results in a non-zero field.However,based on the provided solution image,the question asks for the case where the field is non-zero,and the diagram indicates $(II)$ as the correct choice.

The figures below show regular hexagons with charges at the vertices. In which of the following cases is the electric field at the center $NOT$ zero?

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