There is only one net force acting on the charge at the center of the circle that will only be subjected to a repulsive force from the charge is extant on the negative axis of x.
What is a line charge?
A line charge refers to the charge that is allocated along a curve that is one dimensional in nature such as a circle.
In physics experiments, line charges are used in wire chambers. Wire chambers are used for high-energy physics experiments.
In summary, the charges are put at equal distances around the circumference of the circle in the example.
Because the charges at the opposing ends of the circle are similar, they exert an equal-magnitude repelling force in the opposite direction on the charge at the center of the circle, thus balancing out the forces.
This is why there is only one net force acting on the charge at the center of the circle that will only be subjected to a repulsive force from the charge is extant on the negative axis of x.
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