Point charges of 9.00 {\ m nC} are situated at each of three corners of a square
ID: 1695856 • Letter: P
Question
Point charges of 9.00 { m nC} are situated at each of three corners of a square whose side is 0.150 { m m}.1.What is the magnitude of the resultant force on a point charge of -2.00 mu { m C} if it is placed at the center of the square?
2.What is the direction of the resultant force on a point charge of -2.00 mu { m C} if it is placed at the center of the square?
3.What is the magnitude of the resultant force on a point charge of -2.00 mu { m C} if it is placed at the vacant corner of the square?
4.What is the direction of the resultant force on a point charge of -2.00 mu { m C} if it is placed at the vacant corner of the square?
Explanation / Answer
Q = 9.00 nC, a = 0.150 m, q = -2.00 C, r = a/2
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/(a2)2 = 0.0108 N
Fy = k|q|Q/a2 + k|q|Q/(a2)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