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A point charge of -1.5 µC is located at the origin. A second point charge of...

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

Homework Answers

Answer #1

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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