In: Physics
A 5.1 μC point charge is on the x-axis at 3.4 m, and a 4.2 μC point charge is on the x-axis at 4.4 m. Find the magnitude of the net electric field at the point on the y-axis where y = 2.2 m . The value of the Coulomb constant is 8.98755×10 N·m /C . Answer in units of N/C. Determine the direction of this electric field (as an angle between −180◦ and 180◦ mea- sured from the positive x-axis, with counter- clockwise positive.) Answer in units of ◦.
The situation can be visualized by

From the diagram






The electric fields are given by


and


The net electric field is therefore


The magnitude of the electric field is

The direction of the electric field is in the second quadrant. So, the angle can be calculated using

So, the direction of the electric field is 149.36o measured from positive x-axis.