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# (Solved): Consider three charges placed at three corners of a square as shown in the figure below (see figure ...

Consider three charges placed at three corners of a square as shown in the figure below (see figure (2).

`q_(1)`

and

`q_(2)`

are two identical

`+1C`

charges placed at the top-left and bottom-right corners of the square respectively. The length of each side of the square is

`l`

. The charge

`q`

is placed at the top-right corner. Assume that

`q>0`

. [10 points] (a) What is the force exerted by the charge

`q_(1)`

on

`q`

? (Mention both the magnitude and the direction.) [2 points] (b) What is the force exerted by the charge

`q_(2)`

on

`q`

? (Mention both the magnitude and the direction.) [2 points] (c) What is the distance between

`q`

and the point X? [1 points] (d) What charge could you place at the bottom-left corner (marked

`x`

) in the figure so that the unknown charge

`q`

would be in a state of equilibrium? [5 points]

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