A segment of wire carries a current of 25 A along the x axis from x = 2.0 m to x = 0 and then along the y axis from y = 0 to y = 3.0 m. In this region of space, the magnetic field is equal to 40 mT in the positive z direction. What is the magnitude of the force on this segment of wire?
a. 2.0 N
b. 5.0 N
c. 1.0 N
d. 3.6 N
e. 3.0 N
[Ques. 2] A straight wire carries a current of 40 A in a uniform magnetic field (magnitude = 80 mT). If the force per unit length on this wire is 2.0 N/m, determine the angle between the wire and the magnetic field.
a. either 39 or 141
b. either 25 or 155
c. either 70 or 110
d. either 42 or 138
e. either 65 or 115
[Ques. 3] A charged particle (mass = M, charge = Q > 0) moves in a region of space where the magnetic field has a constant magnitude of B and a downward direction. What is the magnetic force on the particle at an instant when it is moving horizontally toward the north with speed V?
a. QVB toward the east
b. Zero
c. QVB toward the west
d. QVB upward
e. QVB toward the south
[Ques. 4] A charged particle (mass = 4.0 g, charge = 5.0 C) moves in a region where the only force on it is magnetic. What is the magnitude of the acceleration of the particle at a point where the speed of the particle is 5.0 km/s, the magnitude of the magnetic field is 8.0 mT, and the angle between the direction of the magnetic field and the velocity of the particle is 60?
a. 39 km/s2
b. 43 km/s2
c. 48 km/s2
d. 52 km/s2
e. 25 km/s2
[Ques. 5] A positively charged particle has a velocity in the negative z direction at point P. The magnetic force on the particle at this point is in the negative y direction. Which one of the following statements about the magnetic field at point P can be determined from this data?
a. Bx is positive.
b. Bz is positive.
c. By is negative.
d. By is positive.
e. Bx is negative.
[Ques. 6] A particle (mass = 6.0 mg) moves with a speed of 4.0 km/s in a direction that makes an angle of 37 above the positive x axis in the xy plane. At the instant it enters a magnetic field of (5.0 ) mT it experiences an acceleration of (8.0 ) m/s2 . What is the charge of the particle?
a. 4.8 C
b. 4.0 C
c. 4.0 C
d. 4.8 C
e. 5.0 C
[Ques. 7] An electron moving in the positive x direction experiences a magnetic force in the positive z direction. If Bx = 0, what is the direction of the magnetic field?
a. negative y direction
b. positive y direction
c. negative z direction
d. positive z direction
e. negative x direction
[Ques. 8] A particle (q = 4.0 C, m = 5.0 mg) moves in a uniform magnetic field with a velocity having a magnitude of 2.0 km/s and a direction that is 50 away from that of the magnetic field. The particle is observed to have an acceleration with a magnitude of 5.8 m/s2 . What is the magnitude of the magnetic field?
a. 5.3 mT
b. 4.9 mT
c. 5.1 mT
d. 4.7 mT
e. 3.6 mT
[Ques. 9] A particle (q = 5.0 nC, m = 3.0 g) moves in a region where the magnetic field has components Bx = 2.0 mT, By = 3.0 mT, and Bz = 4.0 mT. At an instant when the speed of the particle is 5.0 km/s and the direction of its velocity is 120 relative to the magnetic field, what is the magnitude of the acceleration of the particle?
a. 33 m/s2
b. 17 m/s2
c. 39 m/s2
d. 25 m/s2
e. 45 m/s2
[Ques. 10] An electron has a velocity of 6.0 106 m/s in the positive x direction at a point where the magnetic field has the components Bx = 3.0 T, By = 1.5 T, and Bz = 2.0 T. What is the magnitude of the acceleration of the electron at this point?
a. 2.1 1018 m/s2
b. 1.6 1018 m/s2
c. 2.6 1018 m/s2
d. 3.2 1018 m/s2
e. 3.7 1018 m/s2
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