Four charges Aq,Bq,Cq, and Dq ( q=4.00×10^7 C) sit in a plane at the corners of

Question

Four charges Aq,Bq,Cq, and Dq ( q=4.00×10^7 C) sit in a plane at the corners of a square whose sides have length d=45.5 cm, as shown in the diagram below. A charge, Eq, is placed at the origin at the center of the square.

QUESTION : Consider the situation where A, B, C, and D=1, and E=-1, and the following statements. Determine if the following statements are True or False.



(a)The equilibrium point at the center is a stable equilibrium for any motion of the negative charge in the plane of the square.

(b)The sum of the forces on the center charge in the x-direction equals zero.

(c)The sum of the forces on the center charge in the y-direction equals zero.

(d)The equilibrium point at the center is an unstable equilibrium for any motion of the negative charge in the line from the center charge and perpendicular to the plane of the square.

(e)If one were to triple the magnitude of the negative charge, the negative charge would be in equilibrium.

(f)If one were to double the magnitude of the upper-right-hand positive charge, the negative charge would not be in equilibrium.





THANKS FOR HELP!

Explanation / Answer

The answer is true for all questions.

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