Posted by lindsay on Thursday, June 7, 2012 at 6:35pm.
Make the drawing:
charge #1 – at the left bottom corner,
charge #2 – at the left upper top cirner,
charge #3 – at the right top corner,
charge #4 – at the right bottom corner.
Forces actting on the Charge #4 are:
from #1 towards #4 F1=k•q1•q2/a²=k•q²/a² ,
from #3 towards #4 F3 = k•q1•q2/a²=k•q²/a² ,
from #2 towards #4 F2 = k•q1•q2/(a√2)²=k•q²/2•a² ,
F13=sqrt(F1² +F3²)= k•√2•q²/a².
F123= F13+F2 =k•√2•q²/a² + k•q²/2•a² =
= k•q²/ a•(√2+0.5) =9•10^9•10^-12•1.91/0.02 =0.86 N.
The equal net forces act on each charge.
The electric field strength is zero in the center of this square, therefore, the force acts on each charge in the center is zero as well.
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