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# Find the magnitude of net electric field at the centre of square having charges arranged as shown in figure

$\begin{array}{1 1}(a)\;4 \sqrt{2}\;\large\frac{k\;q}{a^2}\qquad(b)\;2 \sqrt{2}\;\large\frac{k\;q}{a^2}\qquad(c)\; \sqrt{2}\;\large\frac{k\;q}{a^2}\qquad(d)\;\large\frac{k\;q}{a^2}\end{array}$

Answer : (a) $\;4 \sqrt{2}\;\large\frac{k\;q}{a^2}$
Explanation :
$|E_{net}|=\sqrt{(2E)^2+(2E)^2}$
$=2 \sqrt{2} E$
$=2 \sqrt{2}\;\large\frac{k\;q}{(\large\frac{a}{\sqrt{2}})^2}$
$=4 \sqrt{2}\;\large\frac{k\;q}{a^2}\;.$