Find Force of Multiple Charges on Origin Charge Q

[Gift Sama]

what are the generalised and more quicker ways of finding Force that multiple charges (4 charges along the y-axis and x-axis at most) exert on the origin charge Q. i have used a cartesian plane to try solve for the vectors but seem to not get to the right answer.

 

[cpsinkule]

there's no "fast" way. you need to exploit all the symmetries you have, if you have no symmetry you just have to grind out the vector algebra and projections

 

[Qwertywerty]

what are the generalised and more quicker ways of finding Force that multiple charges (4 charges along the y-axis and x-axis at most) exert on the origin charge Q. i have used a cartesian plane to try solve for the vectors but seem to not get to the right answer.

Using vector addition along x-axis and y-axis ?

 

[Gift Sama]

Using vector addition along x-axis and y-axis ?
yes with the aim of calculating the net force all charges exert on the origin charge

 

[tommyxu3]

yes with the aim of calculating the net force all charges exert on the origin charge

So what's your problem since you have got the way to solve it?