Three charges, q1 = 8.00nC, q2 = -4.55nC and q3 = 2.67nC are at the corners of a

Question

Three charges, q1 = 8.00nC, q2 = -4.55nC and q3 = 2.67nC are at the corners of an equilateral triangle, as shown in the figure below.


The angle is 60.0o and L = 0.540 m. We are interested in the point midway between the charges q1 and q2 on the x axis.
For starters, calculate the magnitude of the electric field due only to charge q3 at this point.


Now calculate the magnitude of the electric field from all three charges at a point midway between the two charges on the x axis.


Calculate the angle of the electric field relative to the positive (to the right) x-axis, with positive values up (Counter-Clock Wise) and negative down (Clockwise). (enter the answer with units of deg)


If a tiny particle with a charge q = 1.04nC were placed at this point midway between q1 and q2, what is the magnitude of the force it would feel?

Explanation / Answer

Enet, x = 1872 N/C Enet, y = 144 N/C figure not given E^2 = Ex^2 + Ey^2 E = 1877.53 N/C To find the direction, you have to use inverse trigonometry on the component triangle: Theta = arctan(Ey/Ex) = 4.4 degrees below the x-axis.

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