Two grounded perpendicular semi-infinite conducting sheets are shown. Charge +Q is distance d from both. Its force is $[Q^2/(4\pi\epsilon_0d^2)]\mathbf K$. Find K.
Put +Q at (d,d). The image construction has −Q at (−d,d), −Q at (d,−d), and +Q at (−d,−d).
In the stated force units, the two negative images contribute −i/4 and −j/4. The diagonal positive image is 2√2d away, giving magnitude 1/8 and each component 1/(8√2).
Each net component is −1/4+1/(8√2)=(1−2√2)/(8√2). Thus **D**.
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