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  • In Fig.1.1, 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

In Fig.1.1, two positive charges q2 and q3 fixed along the y axis, exert a net electric force in the + x direction on a charge q1 fixed along the x axis. If a positive charge Q is added at (x, 0), the force on q1


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 q2 and q3.

Answers (1)

The answer is the option (a)

Explanation: The total force acting on a given charge is the vector sum of individual forces exerted on it by other charges.

 

Here, the net electrostatic force is in positive x-direction by q2 and q3 on qx. The nature of force between q1 q2 and q1q3 is attractive. Hence qx is negative.

If possible charge Q is placed at (x,0) the nature of force is attractive between q1 and Q while in the positive x-direction. Therefore, net force on qx due to q2, q3 and Q is also in the same direction. Hence, the force in qx should increase with the addition of Q at (x,0).

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