A current-carrying 2.0-cm long segment of wire is inside a long solenoid (radius = 4.0 cm, n = 800 turns/m, current = 50 mA). The wire segment is oriented perpendicularly to the axis of the solenoid. If the current in the wire segment is 12 A, what is the magnitude of the magnetic force on this segment?
a. 22 N
b. 16 N
c. 18 N
d. 12 N
e. 0 N
[Ques. 2] A long solenoid (diameter = 5.0 cm) is wound with 960 turns per meter of thin wire through which a current of 300 mA is maintained. A wire carrying 12 A is inserted along the axis of the solenoid. What is the magnitude of the magnetic field at a point 2.0 cm from the axis?
a. 0.41 mT
b. 0.48 mT
c. 0.38 mT
d. 0.56 mT
e. 0.24 mT
[Ques. 3] A solenoid 4.0 cm in radius and 4.0 m in length has 8000 uniformly spaced turns and carries a current of 5.0 A. Consider a plane circular surface (radius = 2.0 cm) located at the center of the solenoid with its axis coincident with the axis of the solenoid. What is the magnetic flux through this surface? (1 Wb = 1 T / m2)
a. 63 Wb
b. 16 Wb
c. 0.25 mWb
d. 10 Wb
e. 5.0 Wb
[Ques. 4] A long wire carries a current of 3.0 A along the axis of a long solenoid (radius = 3.0 cm, n = 900 turns/m, current = 30 mA). What is the magnitude of the magnetic field at a point 2.0 cm from the axis of the solenoid? Neglect any end effects.
a. 34 T
b. 64 T
c. 30 T
d. 45 T
e. 4.0 T
[Ques. 5] A long wire is known to have a radius greater than 4.0 mm and to carry a current uniformly distributed over its cross section. If the magnitude of the magnetic field is 0.285 mT at a point 4.0 mm from the axis of the wire and 0.200 mT at a point 10 mm from the axis, what is the radius of the wire?
a. 4.6 mm
b. 7.1 mm
c. 5.3 mm
d. 12 mm
e. 10 mm
[Ques. 6] A long, straight wire (radius = 2.0 mm) carries a current of 2.0 A distributed uniformly over a cross section perpendicular to the axis of the wire. What is the magnitude of the magnetic field at a distance of 1.0 mm from the axis of the wire?
a. 0.40 mT
b. 0.80 mT
c. 0.10 mT
d. 0.20 mT
e. 0.75 mT
[Ques. 7] A long hollow cylindrical conductor (inner radius = 2.0 mm, outer radius = 4.0 mm) carries a current of 12 A distributed uniformly across its cross section. A long wire which is coaxial with the cylinder carries an equal current in the same direction. What is the magnitude of the magnetic field 3.0 mm from the axis?
a. 1.1 mT
b. 1.4 mT
c. 1.7 mT
d. 2.0 mT
e. 0.2 mT
[Ques. 8] A long hollow cylindrical conductor (inner radius = 2.0 mm, outer radius = 4.0 mm) carries a current of 24 A distributed uniformly across its cross section. A long wire which is coaxial with the cylinder carries an equal current in the opposite direction. What is the magnitude of the magnetic field 3.0 mm from the axis?
a. 0.82 mT
b. 0.93 mT
c. 0.70 mT
d. 0.58 mT
e. 0.40 mT
[Ques. 9] A long straight wire (diameter = 2.0 mm) carries a current of 30 A. What is the magnitude of the magnetic field 2.5 mm from the axis of the wire?
a. 3.2 mT
b. 2.8 mT
c. 2.4 mT
d. 3.6 mT
e. 3.0 mT
[Ques. 10] A hollow cylindrical (inner radius = 2.0 mm, outer radius = 4.0 mm) conductor carries a current of 24 A parallel to its axis. This current is uniformly distributed over a cross section of the conductor. Determine the magnitude of the magnetic field at a point that is 5.0 mm from the axis of the conductor.
a. 0.96 mT
b. 1.7 mT
c. 0.55 mT
d. 1.2 mT
e. 0.40 mT
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