Question 1

Which of the following equations can be used, along with a symmetry argument, to calculate the electric field of a point charge?

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 2

A 0.70-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate 5.0 *1012 V/m . s. The magnetic field at a point 0.25 m from the axis has a magnitude of:

Accepted Answer

A)  0 
B)  7.0 * 10-6 T 
C)  2.8 *10-5 T 
D)  5.4 *10-5 T 
E)  7.0 * 10-5 T 
A)  0 
B)  7.0 * 10-6 T 
C)  2.8 *10-5 T 
D)  5.4 *10-5 T 
E)  7.0 * 10-5 T

Question 3

The magnetic dipole moment of an atomic electron is typically:

Accepted Answer

A)  much less than a Bohr magneton 
B)  a few Bohr magnetons 
C)  much greater than a Bohr magneton 
D)  much greater or much less than a Bohr magneton, depending on the atom 
E)  not related to the value of the Bohr magneton 
A)  much less than a Bohr magneton 
B)  a few Bohr magnetons 
C)  much greater than a Bohr magneton 
D)  much greater or much less than a Bohr magneton, depending on the atom 
E)  not related to the value of the Bohr magneton

Question 4

Maxwell's equations, along with an appropriate symmetry argument, can be used to calculate:

Accepted Answer

A)  the electric force on a given charge 
B)  the magnetic force on a given moving charge 
C)  the flux of a given electric field 
D)  the flux of a given magnetic field 
E)  none of these 
A)  the electric force on a given charge 
B)  the magnetic force on a given moving charge 
C)  the flux of a given electric field 
D)  the flux of a given magnetic field 
E)  none of these

Question 5

Gauss' law for magnetism tells us:

Accepted Answer

A)  the net charge in any given volume 
B)  that the line integral of a magnetic field around any closed loop must vanish 
C)  the magnetic field of a current element 
D)  that magnetic monopoles do not exist 
E)  charges must be moving to produce magnetic fields 
A)  the net charge in any given volume 
B)  that the line integral of a magnetic field around any closed loop must vanish 
C)  the magnetic field of a current element 
D)  that magnetic monopoles do not exist 
E)  charges must be moving to produce magnetic fields

Question 6

The magnetic properties of materials stem chiefly from:

Accepted Answer

A)  particles with north poles 
B)  particles with south poles 
C)  motions of protons within nuclei 
D)  proton spin angular momentum 
E)  electron magnetic dipole moments 
A)  particles with north poles 
B)  particles with south poles 
C)  motions of protons within nuclei 
D)  proton spin angular momentum 
E)  electron magnetic dipole moments

Question 7

Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element   and infinitesimal area element   are:

Accepted Answer

A)  always in the same direction 
B)  always in opposite directions 
C)  always perpendicular to each other 
D)  never perpendicular to each other 
E)  none of the above 
A)  always in the same direction 
B)  always in opposite directions 
C)  always perpendicular to each other 
D)  never perpendicular to each other 
E)  none of the above

Question 8

A 1-$\mu$F capacitor is connected to an emf that is increasing uniformly with time at a rate of 100 V/s. The displacement current between the plates is:

Accepted Answer

A)  0 
B)  1*10-8 A 
C)  1*10-6 A 
D)  1 *10-4 A 
E)  100 A 
A)  0 
B)  1*10-8 A 
C)  1*10-6 A 
D)  1 *10-4 A 
E)  100 A

Question 9

According to Gauss' law for magnetism, magnetic field lines:

Accepted Answer

A)  form closed loops 
B)  start at south poles and end at north poles 
C)  start at north poles and end at south poles 
D)  start at both north and south poles and end at infinity 
E)  do not exist 
A)  form closed loops 
B)  start at south poles and end at north poles 
C)  start at north poles and end at south poles 
D)  start at both north and south poles and end at infinity 
E)  do not exist

Question 10

A 0.70-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate 5.0 * 1012 V/m. s. The magnetic field at a point 1.2 m from the axis has a magnitude of:

Accepted Answer

A)  0 
B)  7.0 *10-6 T 
C)  1.1 * 10-5 T 
D)  2.3 *10-5 T 
E)  2.8 * 10-5 T 
A)  0 
B)  7.0 *10-6 T 
C)  1.1 * 10-5 T 
D)  2.3 *10-5 T 
E)  2.8 * 10-5 T

Question 11

The diagram shows two small diamagnetic spheres, one near each end of a bar magnet. Which of the following statements is true?

Accepted Answer

A)  The force on 1 is toward the magnet and the force on 2 is away from the magnet 
B)  The force on 1 is away from the magnet and the force on 2 is away from the magnet 
C)  The forces on 1 and 2 are both toward the magnet 
D)  The forces on 1 and 2 are both away from the magnet 
E)  The magnet does not exert a force on either sphere 
A)  The force on 1 is toward the magnet and the force on 2 is away from the magnet 
B)  The force on 1 is away from the magnet and the force on 2 is away from the magnet 
C)  The forces on 1 and 2 are both toward the magnet 
D)  The forces on 1 and 2 are both away from the magnet 
E)  The magnet does not exert a force on either sphere

Question 12

An unmagnetized steel bar is placed inside a solenoid. As the current in the solenoid is slowly increased from zero to some large value, the magnetization of the bar:

Accepted Answer

A)  increases proportionally with the current 
B)  remains zero for awhile and then increases linearly with any further increase in current 
C)  increases with increasing current at first but later is much less affected by it 
D)  is unaffected by the current 
E)  increases quadratically with the current 
A)  increases proportionally with the current 
B)  remains zero for awhile and then increases linearly with any further increase in current 
C)  increases with increasing current at first but later is much less affected by it 
D)  is unaffected by the current 
E)  increases quadratically with the current

Question 13

A current of 1 A is used to charge a parallel plate capacitor with square plates. If the area of each plate is 0.6 m2 the displacement current through a 0.3 m2 area wholly between the capacitor plates and parallel to them is:

Accepted Answer

A)  1 A 
B)  2 A 
C)  0.7 A 
D)  0.5 A 
E)  0.25 A 
A)  1 A 
B)  2 A 
C)  0.7 A 
D)  0.5 A 
E)  0.25 A

Question 14

Which of the following equations can be used to show that magnetic field lines form closed loops?

Accepted Answer

A)    
B)    
C)    
D)    
E)  none of these 
A)    
B)    
C)    
D)    
E)  none of these

Question 15

A paramagnetic substance is placed in a weak magnetic field and its absolute temperature T is increased. As a result, its magnetization:

Accepted Answer

A)  increases in proportion to T 
B)  increases in proportion to T2 
C)  remains the same 
D)  decreases in proportion to 1/T 
E)  decreases in proportion to 1/T2 
A)  increases in proportion to T 
B)  increases in proportion to T2 
C)  remains the same 
D)  decreases in proportion to 1/T 
E)  decreases in proportion to 1/T2

Question 16

Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. Suppose the area is the surface of a piece of paper at which you are looking and   is chosen to point toward you. Then, the path integral is:

Accepted Answer

A)  clockwise around the circumference of the paper 
B)  counterclockwise around the circumference of the paper 
C)  from left to right 
D)  from right to left 
E)  from top to bottom 
A)  clockwise around the circumference of the paper 
B)  counterclockwise around the circumference of the paper 
C)  from left to right 
D)  from right to left 
E)  from top to bottom

Question 17

Gauss' law for magnetism:

Accepted Answer

A)  can be used to find   due to given currents provided there is enough symmetry 
B)  is false because there are no magnetic poles 
C)  can be used with open surfaces because there are no magnetic poles 
D)  contradicts Faraday's law because one says $\phi$ B = 0 and the other says $\varepsilon$ = -d$\phi$ B/dt 
E)  none of the above 
A)  can be used to find   due to given currents provided there is enough symmetry 
B)  is false because there are no magnetic poles 
C)  can be used with open surfaces because there are no magnetic poles 
D)  contradicts Faraday's law because one says $\phi$ B = 0 and the other says $\varepsilon$ = -d$\phi$ B/dt 
E)  none of the above

Question 18

A bar magnet is placed vertically with its S pole up and its N pole down. Its   field at its center is:

Accepted Answer

A)  zero 
B)  down 
C)  up due to the weight of the magnet 
D)  horizontal 
E)  slightly below the horizontal 
A)  zero 
B)  down 
C)  up due to the weight of the magnet 
D)  horizontal 
E)  slightly below the horizontal

Question 19

The diagram shows two small paramagnetic shperes, one near each end of a bar magnet. Which of the following statements is true?

Accepted Answer

A)  The force on 1 is toward the magnet and the force on 2 is away from the magnet 
B)  The force on 1 is away from the magnet and the force on 2 is away from the magnet 
C)  The forces on 1 and 2 are both toward the magnet 
D)  The forces on 1 and 2 are both away from the magnet 
E)  The magnet does not exert a force on either sphere 
A)  The force on 1 is toward the magnet and the force on 2 is away from the magnet 
B)  The force on 1 is away from the magnet and the force on 2 is away from the magnet 
C)  The forces on 1 and 2 are both toward the magnet 
D)  The forces on 1 and 2 are both away from the magnet 
E)  The magnet does not exert a force on either sphere

Question 20

Magnetization vectors in neighboring ferromagnetic domains are:

Accepted Answer

A)  always in opposite directions 
B)  always in the same direction 
C)  always in different directions 
D)  sometimes in different directions and sometimes in the same direction 
E)  sometimes in opposite directions and sometimes in the same direction 
A)  always in opposite directions 
B)  always in the same direction 
C)  always in different directions 
D)  sometimes in different directions and sometimes in the same direction 
E)  sometimes in opposite directions and sometimes in the same direction

Exam 32: Maxwells Equations; Magnetism of Matter

Which of the following equations can be used, along with a symmetry argument, to calculate the electric field of a point charge?

A 0.70-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate 5.0 *1012 V/m . s. The magnetic field at a point 0.25 m from the axis has a magnitude of:

The magnetic dipole moment of an atomic electron is typically:

Maxwell's equations, along with an appropriate symmetry argument, can be used to calculate:

Gauss' law for magnetism tells us:

The magnetic properties of materials stem chiefly from:

Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element and infinitesimal area element are:

A 1- μ\muμ F capacitor is connected to an emf that is increasing uniformly with time at a rate of 100 V/s. The displacement current between the plates is:

According to Gauss' law for magnetism, magnetic field lines:

A 0.70-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate 5.0 * 1012 V/m. s. The magnetic field at a point 1.2 m from the axis has a magnitude of:

The diagram shows two small diamagnetic spheres, one near each end of a bar magnet. Which of the following statements is true?

An unmagnetized steel bar is placed inside a solenoid. As the current in the solenoid is slowly increased from zero to some large value, the magnetization of the bar:

A current of 1 A is used to charge a parallel plate capacitor with square plates. If the area of each plate is 0.6 m2 the displacement current through a 0.3 m2 area wholly between the capacitor plates and parallel to them is:

Which of the following equations can be used to show that magnetic field lines form closed loops?

A paramagnetic substance is placed in a weak magnetic field and its absolute temperature T is increased. As a result, its magnetization:

Two of Maxwell's equations contain a path integral on the left side and an area integral on the right. Suppose the area is the surface of a piece of paper at which you are looking and is chosen to point toward you. Then, the path integral is:

Gauss' law for magnetism:

A bar magnet is placed vertically with its S pole up and its N pole down. Its field at its center is:

The diagram shows two small paramagnetic shperes, one near each end of a bar magnet. Which of the following statements is true?

Magnetization vectors in neighboring ferromagnetic domains are:

Measurement

Motion Along a Straight Line

Vector

Motion in Two and Three Dimensions

Force and Motion I

Force and Motion II

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Rolling, Torque, and Angular Momentum

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves I

Waves II

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Electric Charge

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Electromagnetic Waves

Images

Interference

Diffraction

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Nuclear Physics

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

A 0.70-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate 5.0 *10¹² V/m . s. The magnetic field at a point 0.25 m from the axis has a magnitude of:

A 1- $\mu$ F capacitor is connected to an emf that is increasing uniformly with time at a rate of 100 V/s. The displacement current between the plates is:

A 0.70-m radius cylindrical region contains a uniform electric field that is parallel to the axis and is increasing at the rate 5.0 * 10¹² V/m. s. The magnetic field at a point 1.2 m from the axis has a magnitude of:

A current of 1 A is used to charge a parallel plate capacitor with square plates. If the area of each plate is 0.6 m² the displacement current through a 0.3 m² area wholly between the capacitor plates and parallel to them is: