From an isosceles right angled triangle of smaller side \(a\), a similar triangle of smaller side \(b\) having same mid-point of common hypotenuse , has been removed. Now this arrangement has been given a surface charge density \(\sigma\). Find the magnitude of electric field(in \(N/C\)) **to the nearest integer** at the mid-point of hypotenuse.

**Details:**

\(\sigma = 1.1 \times 10^{-7} C/m^2 , a = 30 cm, b = 20 cm , \epsilon_{0} = 8.85 \times 10^{-12} F/m \)

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