The three charges q/2, q and q/2 are placed at the corners A, B and C of a square of side 'a' as shown in figure. The magnitude of electric field (E) at the corner D of the square, is :

Question

${q \over {4\pi { \in _0}{a^2}}}\left( {{1 \over {\sqrt 2 }} + {1 \over 2}} \right)$

${q \over {4\pi { \in _0}{a^2}}}\left( {1 + {1 \over {\sqrt 2 }}} \right)$

${q \over {4\pi { \in _0}{a^2}}}\left( {1 - {1 \over {\sqrt 2 }}} \right)$

${q \over {4\pi { \in _0}{a^2}}}\left( {{1 \over {\sqrt 2 }} - {1 \over 2}} \right)$

Solution

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