Point charges of 9.00 nC are situated at each of three corners of a square whose

Question

Point charges of 9.00 nC are situated at each of three corners of a square whose side is 0.250 m.


Part A -
What is the magnitude of the resultant force on a point charge of -1.50 µC if it is placed at the center of the square?
F = _____ N



Part B
What is the direction of the resultant force on a point charge of -1.50 µC if it is placed at the center of the square?
1-The resultant force is directed to the vacant corner.
or
2- The resultant force is directed away from the vacant corner.




Part C -
What is the magnitude of the resultant force on a point charge of -1.50 µC if it is placed at the vacant corner of the square?
F =_______N



Part D
What is the direction of the resultant force on a point charge of -1.50 µC if it is placed at the vacant corner of the square?
1-The resultant force is directed toward the center of the square.
or
2- The resultant force is directed outward the center of the square.

Explanation / Answer

Q = 9.00 nC, a = 0.150 m, q = -2.00 µC, r = a/v2 1. The magnitude of the resultant force on q placed at the center of the square = k|q|Q/r2 = 2k|q|Q/a2 = 0.0144 N 2. the direction of the resultant force on q placed at the center of the square is along the diagonal , away from the vacant corner. 3. To find the magnitude F of the resultant force on q placed at the vacant corner of the square: Fx = k|q|Q/a2 + k|q|Q/(av2)2 = 0.0108 N Fy = k|q|Q/a2 + k|q|Q/(av2)2 = 0.0108 N so F = 0.0153 N 4. The direction of the resultant force on q is along the diagonal, toward the center

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