Three charges are arranged as shown in the figure below. Find the magnitude and

Question

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 4.96 nC at the origin. (Let r12 = 0.265 m.)

If you can just find the direction of the resulting force, that would help me out. I already have the magnitude. I am struggling to find the direction using arctan (Fy/Fx). Points go to the right answer.

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 4.96 nC at the origin. (Let r12 = 0.265 m.) If you can just find the direction of the resulting force, that would help me out. I already have the magnitude. I am struggling to find the direction using arc tan (Fy/Fx). Points go to the right answer.

Explanation / Answer

Fx = k*q1*q2/r12^2 = 9*10^9*4.96*10^-9*6*10^-9/0.265^2 = 0.3814*10^-5 N ( -x direction)


Fy = k*q1*q3/r13^2 = 9*10^9*4.96*10^-9*3*10^-9/0.1^2 = 1.3392*10^-5 N (-y direction)


theta = tan^-1(Fy/Fx)

= tan^-1(1.3392/0.3814)

= 74.1 degrees with -x axis

= 74.1+180

= 254.1 degrees with +x axis

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