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JEE Main 2007 (AIEEE) · Electric Field & Field Lines

Electric Field & Field Lines question from JEE Main 2007 (AIEEE)

Q50JEE Main 2007 · AIEEEMedium

Electric Field & Field Lines

Charges are placed on the vertices of a square as shown. Let $\vec{E}$ be the electric field and $V$ the potential at the center. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then

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Answer: (a)

Initially $+q$ at $A, B$ (top) and $-q$ at $C, D$ (bottom); $V = \dfrac{k}{r}(q + q - q - q) = 0$ .
After interchange the top has $-q$ and the bottom has $+q$ : every charge changes sign at its position.
So $\vec{E}$ reverses direction (changes), while $V$ stays $0$ .
So the answer is (a).

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