A particle (mass = 4.0 g, charge = 80 mC) moves in a region of space where the electric field is uniform and is given by Ex = 2.5 N/C, Ey = Ez = 0 . If the velocity of the particle at t = 0 is given by vx = 80 m/s, vy = vz = 0, what is the speed of the particle at t = 2.0 s?
a. 40 m/s
b. 20 m/s
c. 60 m/s
d. 80 m/s
e. 180 m/s
[Ques. 2] A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m. What is the x component of the electric field at y = 2 m on the y axis?
a. 5.0 N/C
b. 4.0 N/C
c. 5.7 N/C
d. 6.2 N/C
e. 9.0 N/C
[Ques. 3] A charge of 50 nC is uniformly distributed along the y axis from y = 3.0 m to y = 5.0 m. What is the magnitude of the electric field at the origin?
a. 18 N/C
b. 50 N/C
c. 30 N/C
d. 15 N/C
e. 90 N/C
[Ques. 4] A rod (length = 2.0 m) is uniformly charged and has a total charge of 40 nC. What is the magnitude of the electric field at a point which lies along the axis of the rod and is 3.0 m from the center of the rod?
a. 40 N/C
b. 45 N/C
c. 24 N/C
d. 90 N/C
e. 36 N/C
[Ques. 5] A uniformly charged rod (length = 2.0 m, charge per unit length = 3.0 nC/m) is bent to form a semicircle. What is the magnitude of the electric field at the center of the circle?
a. 64 N/C
b. 133 N/C
c. 48 N/C
d. 85 N/C
e. 34 N/C
[Ques. 6] A uniformly charged rod (length = 2.0 m, charge per unit length = 5.0 nC/m) is bent to form one quadrant of a circle. What is the magnitude of the electric field at the center of the circle?
a. 62 N/C
b. 56 N/C
c. 50 N/C
d. 44 N/C
e. 25 N/C
[Ques. 7] Charge of uniform density 4.0 nC/m is distributed along the x axis from x = 2.0 m to x = +3.0 m. What is the magnitude of the electric field at the point x = +5.0 m on the x axis?
a. 16 N/C
b. 13 N/C
c. 19 N/C
d. 26 N/C
e. 5.0 N/C
[Ques. 8] A charge of 25 nC is uniformly distributed along a circular arc (radius = 2.0 m) that is subtended by a 90-degree angle. What is the magnitude of the electric field at the center of the circle along which the arc lies?
a. 81 N/C
b. 61 N/C
c. 71 N/C
d. 51 N/C
e. 25 N/C
[Ques. 9] A charge (uniform linear density = 9.0 nC/m) is distributed along the x axis from x = 0 to x = 3.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 4.0 m.
a. 81 N/C
b. 74 N/C
c. 61 N/C
d. 88 N/C
e. 20 N/C
[Ques. 10] A charge of 80 nC is uniformly distributed along the x axis from x = 0 to x = 2.0 m. Determine the magnitude of the electric field at a point on the x axis with x = 8.0 m.
a. 30 N/C
b. 15 N/C
c. 48 N/C
d. 90 N/C
e. 60 N/C
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