Posted by Joe on Sunday, March 7, 2010 at 1:47pm.
For your first question, perform a vector addition of the two fields due to partiles at the adjacent corners. The two fields will be at right angles and with field strangth kQ/a^2
a is the side length of the square.
For your second question, perform a scalar addition of the potential due to each adjacent corner particle. That should give you 2 k Q/a
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