Charges are placed on the vertices of a square as shown. Let $\mathrm{E}$ be the electric field and…

Charges are placed on the vertices of a square as shown. Let $\mathrm{E}$ be the electric field and $\mathrm{V}$ the potential at the centre. If the charges on $\mathrm{A}$ and $\mathrm{B}$ are interchanged with those on $\mathrm{D}$ and $\mathrm{C}$ respectively, then
  1. $\mathrm{\vec{E}}$ remains unchanged, $\mathrm{V}$ changes
  2. Both $\mathrm{\vec{E}}$ and $\mathrm{V}$ change
  3. $\mathrm{\vec{E}}$ and $\mathrm{V}$ remains unchanged
  4. $\mathrm{\vec{E}}$ changes, $\mathrm{V}$ remains unchanged

Solution

As $\overrightarrow{\mathrm{E}}$ is a vector quantity

Asked in: JEE Main 2007

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