# Electric fields due to different kinds of plates

We have a triangular uniformly charged plate of charge density $$\sigma$$.

We take a point just above a vertex of the triangular plate at a distance $$d$$ perpendicular to the plane of the triangle. Let the vertical component of electric field at that point be $$E(d)$$ in $$V/m$$

Find $$\displaystyle \lim_{d \rightarrow 0}{E(d)}$$

Details and Assumptions:

1) $$\sigma = 10^{-9} C , {\epsilon}_{0}=8.85 \times {10}^{-12} \text{ SI units}$$

2) The triangle is equilateral. By vertical component of electric field I mean electric field perpendicular to the plane of charge.

3) The plate is non conducting.

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