A point charge of -1.5 µC is located at the origin. A second point charge of 10 µC is at x = 1 m, y = 0.5 m. Find the x and y coordinates of the position at which an electron would be in equilibrium.
A)x =____m
B)y =____m
The electron will be in equilibrium at the point where the electric field due to these two charges is zero. The point will be in the third quadrant where both x and y are negative
A) The x component of the field at point x is
This is a quadratic equation. Whose solutions are
We need to choose the negative solution. Therefore
B) Similarly, equate the y component of the field to zero to find the y coordinate
The solutions are
Again, we need to choose the negative solution. Therefore
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