A 40-C charge is positioned on the x axis at x = 4.0 cm. Where should a 60-C charge be placed to produce a net electric field of zero at the origin?
a. 5.3 cm
b. 5.7 cm
c. 4.9 cm
d. 6.0 cm
e. +6.0 cm
[Ques. 2] A charge Q is placed on the x axis at x = +4.0 m. A second charge q is located at the origin. If Q = +75 nC and q = 8.0 nC, what is the magnitude of the electric field on the y axis at y = +3.0 m?
a. 19 N/C
b. 23 N/C
c. 32 N/C
d. 35 N/C
e. 21 N/C
[Ques. 3] A +20-nC point charge is placed on the x axis at x = 2.0 m, and a 25-nC point charge is placed on the y axis at y = 3.0 m. What is the direction of the electric field at the origin?
a. 209
b. 61
c. 29
d. 241
e. 151
[Ques. 4] A +15-nC point charge is placed on the x axis at x = 1.5 m, and a 20-nC charge is placed on the y axis at y = 2.0m. What is the magnitude of the electric field at the origin?
a. 105 N/C
b. 15 N/C
c. 75 N/C
d. 45 N/C
e. 60 N/C
[Ques. 5] A +2.0-nC point charge is placed at one corner of a square (1.5 m on a side), and a 3.0-nC charge is placed on a corner diagonally away from the first charge. What is the magnitude of the electric field at either of the two unoccupied corners?
a. 20 N/C
b. 14 N/C
c. 4.0 N/C
d. 12 N/C
e. 8.0 N/C
[Ques. 6] A point charge (5.0 C) is placed on the x axis at x = 4.0 cm, and a second charge (+5.0 C) is placed on the x axis at x = 4.0 cm. What is the magnitude of the electric force on a third charge (+2.5 C) placed on the y axis at y = 3.0 cm?
a. 90 N
b. 45 N
c. 54 N
d. 72 N
e. 36 N
[Ques. 7] Identical point charges Q are placed at each of the four corners of a 3.0 m 4.0 m rectangle. If Q = 40 C, what is the magnitude of the electrostatic force on any one of the charges?
a. 3.0 N
b. 2.4 N
c. 1.8 N
d. 3.7 N
e. 2.0 N
[Ques. 8] Three identical point charges Q are placed at the vertices of an equilateral triangle (length of each side = 2.0 m). If Q = 60 C, what is the magnitude of the electrostatic force on any one of the charges?
a. 25 N
b. 19 N
c. 14 N
d. 22 N
e. 16 N
[Ques. 9] A point charge Q is placed at the origin. A second charge, 2Q, is placed on the x axis at x = 3.0 m. If Q = 50 C, what is the magnitude of the electrostatic force on a third point charge, Q, placed on the y axis at y = +4.0 m?
a. 2.5 N
b. 3.0 N
c. 3.7 N
d. 4.4 N
e. 1.8 N
[Ques. 10] Three point charges, two positive and one negative, each having a magnitude of 20 C are placed at the vertices of an equilateral triangle (30 cm on a side). What is the magnitude of the electrostatic force on one of the positive charges?
a. 69 N
b. 40 N
c. 80 N
d. 57 N
e. 20 N
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