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In figure two positive charges q(2) and ...

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)`

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)`.

Text Solution

Verified by Experts

The correct Answer is:
A
The net force on `q_(1)` by `q_(2)` and `q_(3)` is along the +x-direction, so nature of force between `q_(1),q_(2) and q_(1),q_(3)` is attractive. This can be represent by the figure given below.

The attractive force between these charges states that `q_(1)` is a negative charge (since, `q_(2)` and `q_(3)` are positive.)
thus, nature of force between `q_(1)` and newly introduced charge Q (charge) is attractive and net force on `q_(1)` by `q_(2),q_(3)` and Q ar along the same direction as given in the diagram below.

The figure given above clearly shows that the force on `q_(1)` shall increase along the positive x-axis due to the positive charges Q.
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