Difference Electric Field Strength Point Charges vs. Plates

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Merlion
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Why does the electric field strength on a straight line (E = k.(Q1/d12+Q2/d22). D1,2 = distance with respect to Q1,Q2) between two point charges vary with the location on this line while the field strength between two parallel plates which remains the same anywhere between the plates.

There's obviously a flaw in my reasoning.
 
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This is true for plates which are very large compared to the distance between the plates. In such a scenario, the plates can be treated as infinitely large, and you can use symmetry observations to calculate the field.
 
Thanks for the answers.

I found my flaw in my reasoning on my own.
 
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