Question 1

A magnetic field parallel to the x axis with a magnitude that decreases with increasing x but does not change with y and z is impossible according to:

Accepted Answer

A)  Faraday's law 
B)  Ampere's law 
C)  Gauss' law for electricity 
D)  Gauss' law for magnetism 
E)  Newton's second law 
A)  Faraday's law 
B)  Ampere's law 
C)  Gauss' law for electricity 
D)  Gauss' law for magnetism 
E)  Newton's second law

Question 2

The magnitude of the Bohr magneton is about:

Accepted Answer

A)  10-15 J/T 
B)  10-19 J/T 
C)  10-23 J/T 
D)  10-27 J/T 
E)  10-31 J/T 
A)  10-15 J/T 
B)  10-19 J/T 
C)  10-23 J/T 
D)  10-27 J/T 
E)  10-31 J/T

Question 3

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 4

One of the Maxwell equations begins with .... The o symbol in the integral sign means:

Accepted Answer

A)  the same as the subscript in $\mu$0 
B)  integrate clockwise around the path 
C)  integrate counterclockwise around the path 
D)  integrate around a closed path 
E)  integrate over a closed surface 
A)  the same as the subscript in $\mu$0 
B)  integrate clockwise around the path 
C)  integrate counterclockwise around the path 
D)  integrate around a closed path 
E)  integrate over a closed surface

Question 5

The intrinsic magnetic dipole moments of protons and neutrons are much less than that of an electron because:

Accepted Answer

A)  their masses are greater 
B)  their angular momenta are much less 
C)  their angular momenta are much greater 
D)  their charges are much less 
E)  their radii are much less 
A)  their masses are greater 
B)  their angular momenta are much less 
C)  their angular momenta are much greater 
D)  their charges are much less 
E)  their radii are much less

Question 6

Which of the following statements about the Earth's magnetic field is correct?

Accepted Answer

A)  The Earth's magnetic field is approximately that of a dipole, and the north magnetic pole is in the northern hemisphere. 
B)  The Earth's magnetic field is approximately that of a dipole, and the north magnetic pole is in the southern hemisphere. 
C)  The Earth's magnetic field is approximately that of a monopole, and the north magnetic pole is in the northern hemisphere. 
D)  The Earth's magnetic field is approximately that of a monopole, and the north magnetic pole is in the southern hemisphere. 
E)  The Earth's magnetic field is approximately that of a quadrupole, and the north magnetic pole is in the eastern hemisphere. 
A)  The Earth's magnetic field is approximately that of a dipole, and the north magnetic pole is in the northern hemisphere. 
B)  The Earth's magnetic field is approximately that of a dipole, and the north magnetic pole is in the southern hemisphere. 
C)  The Earth's magnetic field is approximately that of a monopole, and the north magnetic pole is in the northern hemisphere. 
D)  The Earth's magnetic field is approximately that of a monopole, and the north magnetic pole is in the southern hemisphere. 
E)  The Earth's magnetic field is approximately that of a quadrupole, and the north magnetic pole is in the eastern hemisphere.

Question 7

If is the orbital angular momentum of an electron, the magnetic dipole moment associated with its orbital motion:

Accepted Answer

A)  is in the direction of and has magnitude proportional to L 
B)  is opposite to the direction of and has magnitude proportional to L 
C)  is in the direction of and has magnitude proportional to L2 
D)  is opposite to the direction of and has magnitude proportional to L2 
E)  does not depend on 
A)  is in the direction of and has magnitude proportional to L 
B)  is opposite to the direction of and has magnitude proportional to L 
C)  is in the direction of and has magnitude proportional to L2 
D)  is opposite to the direction of and has magnitude proportional to L2 
E)  does not depend on

Question 8

A magnetic field exists between the plates of a capacitor:

Accepted Answer

A)  always 
B)  never 
C)  when the capacitor is fully charged 
D)  while the capacitor is being charged 
E)  only when the capacitor is starting to be charged 
A)  always 
B)  never 
C)  when the capacitor is fully charged 
D)  while the capacitor is being charged 
E)  only when the capacitor is starting to be charged

Question 9

The spin magnetic dipole moment of an electron:

Accepted Answer

A)  is in the same direction as the spin angular momentum 
B)  is zero 
C)  has a magnitude that depends on the orbital angular momentum 
D)  has a magnitude that depends on the applied magnetic field 
E)  none of the above 
A)  is in the same direction as the spin angular momentum 
B)  is zero 
C)  has a magnitude that depends on the orbital angular momentum 
D)  has a magnitude that depends on the applied magnetic field 
E)  none of the above

Question 10

Paramagnetism is closely associated with:

Accepted Answer

A)  the tendency of electron dipole moments to align with an applied magnetic field 
B)  the tendency of electron dipole moments to align opposite to an applied magnetic field 
C)  the exchange force between electrons 
D)  the force exerted by electron dipole moments on each other 
E)  the torque exerted by electron dipole moments on each other 
A)  the tendency of electron dipole moments to align with an applied magnetic field 
B)  the tendency of electron dipole moments to align opposite to an applied magnetic field 
C)  the exchange force between electrons 
D)  the force exerted by electron dipole moments on each other 
E)  the torque exerted by electron dipole moments on each other

Question 11

A paramagnetic substance, in an external magnetic field, is thermally isolated. The field is then removed. As a result:

Accepted Answer

A)  the magnetic energy of the magnetic dipoles decreases 
B)  the temperature of the substance increases 
C)  the magnetization decreases, but only slightly 
D)  the magnetization reverses direction 
E)  none of the above 
A)  the magnetic energy of the magnetic dipoles decreases 
B)  the temperature of the substance increases 
C)  the magnetization decreases, but only slightly 
D)  the magnetization reverses direction 
E)  none of the above

Question 12

One of the Maxwell equations begins with .... The symbol means:

Accepted Answer

A)  an infinitesimal displacement of a charge 
B)  an infinitesimal displacement of a magnetic pole 
C)  an infinitesimal inductance 
D)  an infinitesimal surface area 
E)  none of the above 
A)  an infinitesimal displacement of a charge 
B)  an infinitesimal displacement of a magnetic pole 
C)  an infinitesimal inductance 
D)  an infinitesimal surface area 
E)  none of the above

Question 13

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 T 
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 T 
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 14

Suppose you are looking into one end of a long cylindrical tube in which there is a uniform electric field, pointing away from you. If the magnitude of the field is decreasing with time the direction of the induced magnetic field is:

Accepted Answer

A)  toward you 
B)  away from you 
C)  clockwise 
D)  counterclockwise 
E)  to your right 
A)  toward you 
B)  away from you 
C)  clockwise 
D)  counterclockwise 
E)  to your right

Question 15

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 = -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 = -d$\phi$ B/dt 
E)  none of the above

Question 16

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 17

An electron is on the z axis moving toward the xy plane but it has not reached that plane yet. At that instant:

Accepted Answer

A)  there is only a true current through the xy plane 
B)  there is only a displacement current through the xy plane 
C)  there are both true and displacement currents through the xy plane 
D)  there is neither a true nor a displacement current through the xy plane 
E)  none of the above are true 
A)  there is only a true current through the xy plane 
B)  there is only a displacement current through the xy plane 
C)  there are both true and displacement currents through the xy plane 
D)  there is neither a true nor a displacement current through the xy plane 
E)  none of the above are true

Question 18

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 19

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 20

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

Exam 32: Maxwells Equations; Magnetism of Matter

A magnetic field parallel to the x axis with a magnitude that decreases with increasing x but does not change with y and z is impossible according to:

The magnitude of the Bohr magneton is about:

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:

One of the Maxwell equations begins with .... The o symbol in the integral sign means:

The intrinsic magnetic dipole moments of protons and neutrons are much less than that of an electron because:

Which of the following statements about the Earth's magnetic field is correct?

If is the orbital angular momentum of an electron, the magnetic dipole moment associated with its orbital motion:

A magnetic field exists between the plates of a capacitor:

The spin magnetic dipole moment of an electron:

Paramagnetism is closely associated with:

A paramagnetic substance, in an external magnetic field, is thermally isolated. The field is then removed. As a result:

One of the Maxwell equations begins with .... The symbol means:

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:

Suppose you are looking into one end of a long cylindrical tube in which there is a uniform electric field, pointing away from you. If the magnitude of the field is decreasing with time the direction of the induced magnetic field is:

Gauss' law for magnetism:

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

An electron is on the z axis moving toward the xy plane but it has not reached that plane yet. At that instant:

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

Gauss' law for magnetism, , tells us:

The magnetic properties of materials stem chiefly from:

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One of the Maxwell equations begins with .... The ^o symbol in the integral sign means:

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: