{{{ 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 }}}