Part a (10 points) : B due to a solenoid: 0 outside, mu_0 n I \zhat inside
120 %: practically perfect + good symmetry argument using pseudo-vector
110 %: practically perfect + good symmetry argument using pseudo-vector
(but with error)
100 %: practically perfect
80 %: direction of B, only half explained
80 %: correct starting point for explaning the direction of B, not
followed through
80 %: all OK, except that the reason for B = 0 outside is not good
60 %: direction of B not explained
25 %: correct answer stated with no derivation
25 %: some discussion but no clear derivation of either direction or
magnitude
Part b (10 points) :
100 %: practically perfect
85 %: correct except for a sign mistake
80 %: everthing OK, but dimensions for x(t) and y(t) are incorrect due
to a dropped symbol
70 %: concluded uniform circular motion, but did not really prove it
(integration constants not related)
60 %: integration constants for x(t) and y(t) are not/incorrectly
related
50 %: said circular motion, but the solutions for x(t) and y(t) cannot
be that; omega is OK
40 %: qualitative answer only and no answer for what omega is
33 %: got an exponential function or a quadratic function rather than
sinusoidal function
25 %: correct starting formula, but no or little development from it
Part c (10 points) :
100 %: practically perfect
70 %: The dervivation for E = v x B has a serious hole.
50 %: E is good, but B is not discussed
50 %: B is correct, but E is completely wrong
25 %: correct starting formula, but no or little development from it
10 %: some discussion is presented, but no clear direction is indicated
Part d (10 points) :
100 %: practically perfect
60 %: qualitatively correct discussion, but no showing that centrifugal
foce = |qE|
50 %: centripetal force is OK, but the centrifugal force is not
discussed correctly
10 %: some discussion is presented, but no clear direction is indicated
0 %: answer missing, or completely incorrect
Part e (10 points) :
100 %: practically perfect
90 %: correct formulas, mangled by wrong substitution for \vec r
80 %: correct starting point for A and V, but major mistakes were made
(wrong time dependence, e.g.)
0 %: answer missing, or completely incorrect
Part f (10 points) : accel or vel = sin or cos (kx - omega_c t + phi_0)
100 %: practically perfect
60 %: correct answer but the reason is not enough (noted only the t
dependence of phase)
33 %: correct answer deduced from insufficient reasons or incorrect
reasons
25 %: correct starting formula, but no or little development from it
0 %: answer missing, or completely incorrect
Part g (10 points) : S has two components (// rhat (rad) and perp. to rhat)
100 %: practically perfect
95 %: both terms are present, but the angular dependence is completely
wrong
90 %: correct starting formula, but no or little development from it
90 %: got radiation term only, which is also incorrect
90 %: completely wrong, but due to a previous mistake in part e
90 %: got radiation term only
0 %: answer missing, or completely incorrect
Part h (10 points) : Eq. 11.59 with appropriate |\ddot p(t0)|
100 %: practically perfect
90 %: correct except for a (small) numerical error
70 %: expression OK, except for the angular dependence
70 %: expression OK, except that it has spurious time-dependence
60 %: expression OK, except that a (acceleration) is not explained
50 %: incorrect angular dependence and unexplained a
40 %: incorrect direction, incorrect angular dependence
25 %: correct starting formula, but no or little development from it
0 %: answer missing, or completely incorrect
Part i (10 points) : (g) is the same as (h) if only the radiation term is
taken
100 %: practically perfect
90 %: correct except for a (small) numerical error
70 %: managed to show the equivalence, but with spurious t-dependence
60 %: misundertood symbols and could not prove the equivalence
40 %: correct starting formula but could not convert the formula to
show that it is the same as the ans of h (even if the agreement
was "argued for")
25 %: correct starting formula, but no or little development from it
0 %: answer missing, or completely incorrect
Part j (10 points) : Eq. 11.60 with |\ddot p(t0)| replaced properply
100 %: practically perfect
90 %: correct except for a (small) numerical error
80 %: got an incorrect answer dimensionally due to a simple mistake in
power
80 %: expression is OK, except that a (acceleration) is not explained
80 %: got a formula that is t-dependent incorrectly
50 %: answer contains integration mistake and unexplained a
33 %: serious integration mistake caused answer dependent on r
25 %: correct starting formula, but no or little development from it
0 %: answer missing, or completely incorrect
Part k (10 points) : omega_c --> omega_c / \gamma where omega_c = that of
(b)
100 %: practically perfect
85 %: correct except for a sign mistake
75 %: all is OK, except that y(t) has an incorrect term (like linear-
in-t term)
60 %: omega_c is incorrect; OK otherwise
60 %: omega_c is correct but integration constants are not correctly
related
60 %: omega_c is correct but equation of motion is not solved or is
incorrectly solved
50 %: forgot the gamma factor for p
50 %: omega_c is incorrect and there is a sign error
50 %: omega_c is incorrect and the equation of motion is not solved or
is incorrectly solved
33 %: qualitatively argued "the same motion," which is incorrect
25 %: correct starting formula, but no or little development from it
10 %: some discussion is presented, but no clear direction is indicated
0 %: answer missing, or completely incorrect
Part l (10 points) :
100 %: practically perfect
50 %: B is correct (at least in relation to B_lab), but E is incorrect
50 %: B is incorrect, while E is correct (at least in relation to B)
33 %: E and B are computeed incorrectly from Lorentz transform
33 %: E and B are computed incorrecly from the field tensor
25 %: correct starting formula, but no or little development from it
10 %: some discussion is presented, but no clear direction is indicated
0 %: answer missing, or completely incorrect
Part m (10 points) :
100 %: practically perfect (qualitative discussion only)
10 %: some discussion is presented, but no clear direction is indicated
0 %: answer missing, or completely incorrect