In figure two positive charges `q_(2)` and `q_(3)` fixed along the y-axis ,exert a net electric force in the `+x` direction on a charge `q_(1)` fixed along the x-axis if a positive charge `Q` is added at `(x,0)` the force on `q_(1)`

Options

A. shall increase along the positive x-axis.
B. shall decrease along the positive x-axis.
C. shall point along the negative x-axis.
D. shall increase but the direction changes because of the intersection of Q with `q_(2) and q_(3)`.

Answer

A

Explanation

Net force on charge `q_(1)`, by other charges `q_(2)` and `q_(3)` is along the +x direction, so nature of force between `q_(1)` and `q_(2)` and `q_(1)`and `q_(3)` is attractive. This is possible when charge Q is placed at (x, 0), then, the force on `q_(1)` will increase. The direction will be along positive x-axis.