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

Correct Option - 1


Detailed Solution:

$E=\frac{kq}{2a^2}$

$E\text{'}=\frac{kq}{{\left(\sqrt[]{2}a\right)}^2}=\frac{kq}{2a^2}$

$E_{Net}=2Ecos45°+E\text{'}$

$=\frac{kq}{a^2}\left(\frac{1}{\sqrt[]{2}}+\frac{1}{2}\right)$

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