Question 1

What is the speed of a proton in a cyclotron having a 0.50 T magnetic field when the proton is at a distance of 25 cm from the center?

Accepted Answer

A)  3.7 $\times$ 107 m/s 
B)  1.2 $\times$ 107 m/s 
C)  6.0 $\times$ 106 m/s 
D)  3.2 $\times$ 106 m/s 
E)  1.1 $\times$ 104 m/s 
A)  3.7 $\times$ 107 m/s 
B)  1.2 $\times$ 107 m/s 
C)  6.0 $\times$ 106 m/s 
D)  3.2 $\times$ 106 m/s 
E)  1.1 $\times$ 104 m/s

Question 2

An electron is moving at 3.6 $\times$ 106 m/s perpendicular to a uniform magnetic field.If the radius of the motion is 18 mm,what is the magnitude of the magnetic field?

Accepted Answer

A)  70 mT 
B)  0.95 mT 
C)  9.3 mT 
D)  1.6 $\mu$T 
E)  8.9 nT 
A)  70 mT 
B)  0.95 mT 
C)  9.3 mT 
D)  1.6 $\mu$T 
E)  8.9 nT

Question 3

Find the circulation for the path shown.

Accepted Answer

A)  -(4 
A) $\mu$0 
B)  (4 
A) $\mu$0 
C)  (28 
A) $\mu$0 
D)  -(28 
A) $\mu$0 
E)  (7 
A) $\mu$0 
A)  -(4 
A) $\mu$0 
B)  (4 
A) $\mu$0 
C)  (28 
A) $\mu$0 
D)  -(28 
A) $\mu$0 
E)  (7 
A) $\mu$0

Question 4

A long straight wire is carrying a current of 2.4 A in a region where the magnetic field is perpendicular to the wire.If the magnetic field is 0.52 mT and makes a 60$^{\circ}$angle with the wire,what is the magnitude of the force on 3.0 m of the wire?

Accepted Answer

A)  3.2 N 
B)  6.5 N 
C)  1.6 $\times$ 10-3 N 
D)  3.2 $\times$ 10-3 N 
E)  6.5 $\times$ 10-3 N 
A)  3.2 N 
B)  6.5 N 
C)  1.6 $\times$ 10-3 N 
D)  3.2 $\times$ 10-3 N 
E)  6.5 $\times$ 10-3 N

Question 5

A coil of 150 turns of wire is in the form of a circle,carries a current of 63 mA,and sits in the center of a dipole magnet that produces a uniform magnetic field of strength 1.5 T.The torque on the coil has a maximum value of 0.25 Nm.What is the radius of the coils?

Accepted Answer

A)  9.2 cm 
B)  13 cm 
C)  0.56 cm 
D)  7.5 cm 
A)  9.2 cm 
B)  13 cm 
C)  0.56 cm 
D)  7.5 cm

Question 6

The magnetic force on a point charge in a given magnetic field and at a given speed is largest when it

Accepted Answer

A)  has velocity components both parallel to and perpendicular to the field. 
B)  moves perpendicular to the magnetic field. 
C)  moves in the direction opposite to the magnetic field. 
D)  moves in the direction of the magnetic field. 
A)  has velocity components both parallel to and perpendicular to the field. 
B)  moves perpendicular to the magnetic field. 
C)  moves in the direction opposite to the magnetic field. 
D)  moves in the direction of the magnetic field.

Question 7

If a charged particle is moving through a magnetic field with its velocity at an angle of 45 degrees with respect to the field,what happens to the magnetic force on it if both the speed and magnetic field are doubled?

Accepted Answer

A)  It stays the same. 
B)  It doubles. 
C)  It quadruples. 
D)  It halves. 
E)  It increases by a factor of 5.66. 
A)  It stays the same. 
B)  It doubles. 
C)  It quadruples. 
D)  It halves. 
E)  It increases by a factor of 5.66.

Question 8

A 300 T urn coil of area 25 cm2 is placed in an 80 mT magnetic field.If the coil carries a current of 3.3 A,what is the magnitude of the maximum magnetic torque it could experience?

Accepted Answer

A)  20 N·m 
B)  6.0 N·m 
C)  0.13 N·m 
D)  0.20 N·m 
E)  0.060 N·m 
A)  20 N·m 
B)  6.0 N·m 
C)  0.13 N·m 
D)  0.20 N·m 
E)  0.060 N·m

Question 9

An electron is moving at 3.0 $\times$  106 m/s at an angle of 40$^{\circ}$ to a 0.80 T magnetic field.What is the magnitude of the acceleration of the electron?

Accepted Answer

A)  2.7 $\times$  1017 m/s2 
B)  1.4 $\times$  1017 m/s2 
C)  5.2 $\times$  1017 m/s2 
D)  7.8 $\times$  1017 m/s2 
E)  9.8 $\times$  1017 m/s2 
A)  2.7 $\times$  1017 m/s2 
B)  1.4 $\times$  1017 m/s2 
C)  5.2 $\times$  1017 m/s2 
D)  7.8 $\times$  1017 m/s2 
E)  9.8 $\times$  1017 m/s2

Question 10

A charged particle of mass 1.0 $\times$ 10-26 kg enters a region of magnetic field at a speed of 2.8 $\times$ 106 m/s, at an angle of 37 degrees relative to the magnetic field direction.If the magnetic field strength is 1.2 T what will be the radius of the helical path it takes?

Accepted Answer

A)  Insufficient information given. 
B)  15 cm 
C)  8.9 cm. 
D)  11 cm 
A)  Insufficient information given. 
B)  15 cm 
C)  8.9 cm. 
D)  11 cm

Question 11

An electron is moving at 3.0 $\times$ 106 m/s at an angle of 40$^{\circ}$ to a 0.80 T magnetic field.What is the magnitude of the force on the electron?

Accepted Answer

A)  4.8 $\times$ 10-13 N 
B)  3.8 $\times$  10-13 N 
C)  2.5 $\times$  10-13 N 
D)  2.9 $\times$  10-13 N 
E)  1.2 $\times$  10-13 N 
A)  4.8 $\times$ 10-13 N 
B)  3.8 $\times$  10-13 N 
C)  2.5 $\times$  10-13 N 
D)  2.9 $\times$  10-13 N 
E)  1.2 $\times$  10-13 N

Question 12

One wire,lying on the x-axis,carries a current of 8.0 A in the positive x-direction.Another wire,lying on the y-axis,carries a current of 12 A in the positive y-direction.What is the magnitude of the magnetic field at (x , y) = (8.0 cm , 12.0 cm)?

Accepted Answer

A)  1.3 $\times$ 10-5 T 
B)  3.0 $\times$ 10-5 T 
C)  1.7 $\times$ 10-5 T 
D)  4.3 $\times$ 10-5 T 
E)  4.0 $\times$ 10-10 T 
A)  1.3 $\times$ 10-5 T 
B)  3.0 $\times$ 10-5 T 
C)  1.7 $\times$ 10-5 T 
D)  4.3 $\times$ 10-5 T 
E)  4.0 $\times$ 10-10 T

Question 13

An electron is moving at 2.5 $\times$ 106 m/s perpendicular to a 3.5 mT magnetic field.What is the radius of its path?

Accepted Answer

A)  5.1 cm 
B)  3.9 cm 
C)  1.6 cm 
D)  4.1 mm 
E)  2.0 mm 
A)  5.1 cm 
B)  3.9 cm 
C)  1.6 cm 
D)  4.1 mm 
E)  2.0 mm

Question 14

A 3.0 cm section of a horizontal wire carrying a 6.7 A current from east to west is placed in a north to south 0.42 T magnetic field in the lab.What is the magnitude of the force on the 3.0 cm section of the wire?

Accepted Answer

A)  0.084 N 
B)  0.17 N 
C)  0.25 N 
D)  0.0017 N 
E)  0.0025 N 
A)  0.084 N 
B)  0.17 N 
C)  0.25 N 
D)  0.0017 N 
E)  0.0025 N

Question 15

What current is necessary to generate a field of 0.20 T inside a solenoid of 300 turns per cm?

Accepted Answer

A)  530 A 
B)  5.3 A 
C)  33 A 
D)  0.33 A 
E)  3.1 A 
A)  530 A 
B)  5.3 A 
C)  33 A 
D)  0.33 A 
E)  3.1 A

Question 16

A proton cyclotron has a magnetic field of 0.20 T between its poles and a radius of 0.40 m.What is the maximum energy for the protons from this machine?

Accepted Answer

A)  1.6 $\times$ 10-13 J 
B)  3.2 $\times$ 10-13 J 
C)  4.9 $\times$ 10-13 J 
D)  3.2 $\times$ 10-14 J 
E)  4.9 $\times$ 10-14 J 
A)  1.6 $\times$ 10-13 J 
B)  3.2 $\times$ 10-13 J 
C)  4.9 $\times$ 10-13 J 
D)  3.2 $\times$ 10-14 J 
E)  4.9 $\times$ 10-14 J

Question 17

The magnetic field in a cyclotron is 0.50 T.What is the radius of the vacuum chamber for a maximum proton velocity of 1.0 $\times$ 107 m/s?

Accepted Answer

A)  0.11 m 
B)  1.2 m 
C)  0.21 m 
D)  0.013 m 
A)  0.11 m 
B)  1.2 m 
C)  0.21 m 
D)  0.013 m

Question 18

A coil of 150 turns of wire is in the form of a circle of diameter 7.5 cm,and sits in the center of a dipole magnet that produces a uniform magnetic field of strength 1.5 T.The torque on the coil has a maximum value of 0.25 Nm.What is the current in the coils?

Accepted Answer

A)  9.4 A 
B)  200 mA 
C)  4.7 mA 
D)  63 mA 
E)  94 mA 
A)  9.4 A 
B)  200 mA 
C)  4.7 mA 
D)  63 mA 
E)  94 mA

Question 19

A charged particle of mass 1.0 $\times$ 10-26 kg enters a region of magnetic field at a speed of 2.8 $\times$ 106 m/s, at an angle of 37 degrees relative to the magnetic field direction.If the magnetic field strength is 1.2 T and the charge of the particle is +e, what will be the radius of the helical path it takes?

Accepted Answer

A)  insufficient information given. 
B)  15 cm 
C)  11 cm 
D)  8.9 cm 
A)  insufficient information given. 
B)  15 cm 
C)  11 cm 
D)  8.9 cm

Question 20

The magnetic field in a cyclotron is 0.50 T.Find the magnitude of the magnetic force on a proton with velocity of 1.0 $\times$  107 m/s in a plane perpendicular to the field.

Accepted Answer

A)  6.0 $\times$ 10-14 N 
B)  6.0 $\times$ 10-13 N 
C)  8.0 $\times$ 10-14 N 
D)  8.0 $\times$ 10-13 N 
A)  6.0 $\times$ 10-14 N 
B)  6.0 $\times$ 10-13 N 
C)  8.0 $\times$ 10-14 N 
D)  8.0 $\times$ 10-13 N

Exam 19: Magnetic Forces and Fields

What is the speed of a proton in a cyclotron having a 0.50 T magnetic field when the proton is at a distance of 25 cm from the center?

An electron is moving at 3.6 ×\times× 106 m/s perpendicular to a uniform magnetic field.If the radius of the motion is 18 mm,what is the magnitude of the magnetic field?

Find the circulation for the path shown.

A long straight wire is carrying a current of 2.4 A in a region where the magnetic field is perpendicular to the wire.If the magnetic field is 0.52 mT and makes a 60 ∘^{\circ}∘ angle with the wire,what is the magnitude of the force on 3.0 m of the wire?

A coil of 150 turns of wire is in the form of a circle,carries a current of 63 mA,and sits in the center of a dipole magnet that produces a uniform magnetic field of strength 1.5 T.The torque on the coil has a maximum value of 0.25 Nm.What is the radius of the coils?

The magnetic force on a point charge in a given magnetic field and at a given speed is largest when it

If a charged particle is moving through a magnetic field with its velocity at an angle of 45 degrees with respect to the field,what happens to the magnetic force on it if both the speed and magnetic field are doubled?

A 300 T urn coil of area 25 cm2 is placed in an 80 mT magnetic field.If the coil carries a current of 3.3 A,what is the magnitude of the maximum magnetic torque it could experience?

An electron is moving at 3.0 ×\times× 106 m/s at an angle of 40 ∘^{\circ}∘ to a 0.80 T magnetic field.What is the magnitude of the acceleration of the electron?

A charged particle of mass 1.0 ×\times× 10-26 kg enters a region of magnetic field at a speed of 2.8 ×\times× 106 m/s, at an angle of 37 degrees relative to the magnetic field direction.If the magnetic field strength is 1.2 T what will be the radius of the helical path it takes?

An electron is moving at 3.0 ×\times× 106 m/s at an angle of 40 ∘^{\circ}∘ to a 0.80 T magnetic field.What is the magnitude of the force on the electron?

One wire,lying on the x-axis,carries a current of 8.0 A in the positive x-direction.Another wire,lying on the y-axis,carries a current of 12 A in the positive y-direction.What is the magnitude of the magnetic field at (x , y) = (8.0 cm , 12.0 cm)?

An electron is moving at 2.5 ×\times× 106 m/s perpendicular to a 3.5 mT magnetic field.What is the radius of its path?

A 3.0 cm section of a horizontal wire carrying a 6.7 A current from east to west is placed in a north to south 0.42 T magnetic field in the lab.What is the magnitude of the force on the 3.0 cm section of the wire?

What current is necessary to generate a field of 0.20 T inside a solenoid of 300 turns per cm?

A proton cyclotron has a magnetic field of 0.20 T between its poles and a radius of 0.40 m.What is the maximum energy for the protons from this machine?

The magnetic field in a cyclotron is 0.50 T.What is the radius of the vacuum chamber for a maximum proton velocity of 1.0 ×\times× 107 m/s?

A coil of 150 turns of wire is in the form of a circle of diameter 7.5 cm,and sits in the center of a dipole magnet that produces a uniform magnetic field of strength 1.5 T.The torque on the coil has a maximum value of 0.25 Nm.What is the current in the coils?

The magnetic field in a cyclotron is 0.50 T.Find the magnitude of the magnetic force on a proton with velocity of 1.0 ×\times× 107 m/s in a plane perpendicular to the field.

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Elasticity and Oscillations

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

Filters

An electron is moving at 3.6 $\times$ 10⁶ m/s perpendicular to a uniform magnetic field.If the radius of the motion is 18 mm,what is the magnitude of the magnetic field?

A long straight wire is carrying a current of 2.4 A in a region where the magnetic field is perpendicular to the wire.If the magnetic field is 0.52 mT and makes a 60 $^{\circ}$ angle with the wire,what is the magnitude of the force on 3.0 m of the wire?

A 300 T urn coil of area 25 cm² is placed in an 80 mT magnetic field.If the coil carries a current of 3.3 A,what is the magnitude of the maximum magnetic torque it could experience?

An electron is moving at 3.0 $\times$ 10⁶ m/s at an angle of 40 $^{\circ}$ to a 0.80 T magnetic field.What is the magnitude of the acceleration of the electron?

A charged particle of mass 1.0 $\times$ 10^-26 kg enters a region of magnetic field at a speed of 2.8 $\times$ 10⁶ m/s, at an angle of 37 degrees relative to the magnetic field direction.If the magnetic field strength is 1.2 T what will be the radius of the helical path it takes?

An electron is moving at 3.0 $\times$ 10⁶ m/s at an angle of 40 $^{\circ}$ to a 0.80 T magnetic field.What is the magnitude of the force on the electron?

An electron is moving at 2.5 $\times$ 10⁶ m/s perpendicular to a 3.5 mT magnetic field.What is the radius of its path?

The magnetic field in a cyclotron is 0.50 T.What is the radius of the vacuum chamber for a maximum proton velocity of 1.0 $\times$ 10⁷ m/s?

The magnetic field in a cyclotron is 0.50 T.Find the magnitude of the magnetic force on a proton with velocity of 1.0 $\times$ 107 m/s in a plane perpendicular to the field.