Three point charges lie in the x-y plane as shown in the diagram below: q 1 = 63

Question

Three point charges lie in the x-y plane as shown in the diagram below: q1= 63.7 C and is located at the origin; q2= 31.5 C and is located at x = 2.81 m and y = 0; q3= -17.7 C and is located at x = 1.61 m and y = 2.21 m. A force diagram showing the forces acting on q1 and a coordinate system are given in the diagram.

Calculate the y-component of the net electrostatic force acting on q1 due to charges q2 and q3.

Calculate the x-component of the net electrostatic force acting on q1 due to charges q2 and q3.

Calculate the magnitude of the net electrostatic force acting on q1 due to charges q2 and q3.

Calculate the direction of the net electrostatic force acting on q1 due to charges q2 and q3. Enter the angle as a positive value measured counterclockwise from the positive x-axis

Explanation / Answer

givne three point charges

q1 = 63.7 uC, origin

q2 = 31.5 uC, (2.81,0)

q3 = -17.7 uC, (1.61, 2.21)

a. F1y = -kq1q3*2.21/(1.61^2 + 2.21^2)^3/2

F1y = 1.09461133905 N

b. F1x = -kq1q2/2.81^2 - kq1q3*1.61/(1.61^2 + 2.21^2)^3/2

F1x = -1.4845579264 N

c. |F1| = sqrt(Fx^2 + Fy^2) = 1.84447451 N

d. theta = arctan(Fy/Fx) = 143.5974 deg CCW from +x axis

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