Two semi-infinite conducting sheets are placed at right

Two semi-infinite conducting sheets are placed at right angles to each other as shown in the figure. A point charge of +Q is placed at a distance of d from both sheets. The net force on the charge is
Q² K
4πε₀ d²
,where K is given by

Net force on the charge, F = F₁ + F₂ + F₃

∴ F =	1		Q²		-2da_x - 2da_y +	1	(2da_x + 2da_y)
	4πε₀		(2d)³			2√2

∴ F =	1		Q²		1 - 2√2	a_x +	1 - 2√2	a_y
	4πε₀		d²		8√2		8√2

-	1	î -	1	ĵ
	4		4

-	1	î -	1	ĵ
	8		8