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 the negative charge?
a. 80 N
b. 40 N
c. 69 N
d. 57 N
e. 75 N
[Ques. 2] A point charge Q is placed on the x axis at the origin. An identical point charge is placed on the x axis at x = 1.0 m and another at x = +1.0 m. If Q = 40 C, what is the magnitude of the electrostatic force on the charge at x = +1.0 m?
a. 29 N
b. 14 N
c. 11 N
d. 18 N
e. 7.0 N
[Ques. 3] A point charge Q is placed on the x axis at x = 2.0 m. A second point charge, Q, is placed at x = 1.0 m. If Q = 60 C, what is the magnitude of the electrostatic force on a 40-C charge placed at the origin?
a. 16 N
b. 27 N
c. 32 N
d. 11 N
e. 3.0 N
[Ques. 4] A point charge Q is placed on the x axis at x = 2.0 m. A second point charge, Q, is placed at x = 3.0 m. If Q = 40 C, what is the magnitude of the electrostatic force on a 30-C charge placed at the origin?
a. 7.2 N
b. 3.9 N
c. 1.5 N
d. 14 N
e. 8.1 N
[Ques. 5] A particle (m = 50 g, q = 5.0 C) is released from rest when it is 50 cm from a second particle (Q = 20 C). Determine the magnitude of the initial acceleration of the 50-g particle.
a. 54 m/s2
b. 90 m/s2
c. 72 m/s2
d. 65 m/s2
e. 36 m/s2
[Ques. 6] Three point charges are positioned on the x axis. If the charges and corresponding positions are +32 C at x = 0, +20 C at x = 40 cm, and 60 C at x = 60 cm, what is the magnitude of the electrostatic force on the +32-C charge?
a. 84 N
b. 12 N
c. 36 N
d. 50 N
e. 48 N
[Ques. 7] A charge of +80 C is placed on the x axis at x = 0 . A second charge of 50 C is placed on the x axis at x = 50 cm. What is the magnitude of the electrostatic force on a third charge of 4.0 C placed on the x axis at x = 30 cm?
a. 13 N
b. 77 N
c. 39 N
d. 25 N
e. 45 N
[Ques. 8] A particle (charge = +40 C) is located on the x axis at the point x = 20 cm, and a second particle (charge = 50 C) is placed on the x axis at x = +30 cm. What is the magnitude of the total electrostatic force on a third particle (charge = 4.0 C) placed at the origin (x = 0)?
a. 41 N
b. 16 N
c. 56 N
d. 35 N
e. 72 N
[Ques. 9] Each of two small non-conducting spheres is charged positively, the combined charge being 40 C. When the two spheres are 50 cm apart, each sphere is repelled from the other by a force of magnitude 2.0 N. Determine the magnitude of the smaller of the two charges.
a. 1.4 C
b. 1.1 C
c. 2.0 C
d. 3.3 C
e. 17 C
[Ques. 10] A Geiger counter is like an electroscope that discharges whenever ions formed by a radioactive particle produce a conducting path. A typical Geiger counter consists of a thin conducting wire of radius 0.002 cm stretched along the axis of a conducting cylinder of radius 2.0 cm. The wire and the cylinder carry equal and opposites charges of 8.0 1010 C all along their length of 10.0 cm. What is the magnitude of the electric field at the surface of the wire?
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