Q: In a certain inertial frame S, the electric field E and
In a certain inertial frame S, the electric field E and the magnetic field B are neither parallel nor perpendicular, at a particular space-time point. Show that in a different inertial system S¯, moving...
See AnswerQ: Two charges (q approach the origin at constant velocity from opposite
Two charges (q approach the origin at constant velocity from opposite directions along the x axis. They collide and stick together, forming a neutral particle at rest. Sketch the electric field before...
See AnswerQ: Derive” the Lorentz force law, as follows: Let charge
Derive” the Lorentz force law, as follows: Let charge q be at rest in S¯, so F¯ = qE¯ , and let S¯ move with velocity v = v xˆ with respect to S. Use the transformation rules (Eqs. 12.67 and 12.109) t...
See AnswerQ: Check Stokes’ theorem for the function / using the
Check Stokes’ theorem for the function / using the triangular surface shown in Fig. 1.51. [Answer: a2]
See AnswerQ: A charge q is released from rest at the origin, in
A charge q is released from rest at the origin, in the presence of a uniform electric field /and a uniform magnetic field /Determine the trajectory of the particle by transforming to a system in which E...
See AnswerQ: In a laboratory experiment, a muon is observed to travel 800
In a laboratory experiment, a muon is observed to travel 800 m before disintegrating. A graduate student looks up the lifetime of a muon / and concludes that its speed was / Faster than light! Identi...
See AnswerQ: (a) Construct a tensor Dμν (analogous to Fμν )
(a) Construct a tensor Dμν (analogous to Fμν ) out of D and H. Use it to express Maxwell’s equations inside matter in terms of the free current density / / (b) Construct the dual tensor Hμν (analogou...
See AnswerQ: Use the Larmor formula (Eq. 11.70) and
Use the Larmor formula (Eq. 11.70) and special relativity to derive the Liénard formula (Eq. 11.73).
See AnswerQ: The natural relativistic generalization of the Abraham-Lorentz formula (Eq
The natural relativistic generalization of the Abraham-Lorentz formula (Eq. 11.80) would seem to be / This is certainly a 4-vector, and it reduces to the Abraham-Lorentz formula in the nonrelativisti...
See AnswerQ: Generalize the laws of relativistic electrodynamics (Eqs. 12.127
Generalize the laws of relativistic electrodynamics (Eqs. 12.127 and 12.128) to include magnetic charge. [Refer to Sect. 7.3.4.]
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