Q: As a model for electric quadrupole radiation, consider two oppositely oriented
As a model for electric quadrupole radiation, consider two oppositely oriented oscillating electric dipoles, separated by a distance d, as shown in Fig. 11.19. Use the results of Sect. 11.1.2 for the...
See AnswerQ: As you know, the magnetic north pole of the earth does
As you know, the magnetic north pole of the earth does not coincide with the geographic north pole—in fact, it’s off by about 11◦. Relative to the fixed axis of rotation, therefore, the magnetic dipole...
See AnswerQ: An ideal electric dipole is situated at the origin; its dipole
An ideal electric dipole is situated at the origin; its dipole moment points in the zˆ direction, and is quadratic in time: where p¨0 is a constant. (a) Use the method of Section...
See AnswerQ: In Section 11.2.1 we calculated the energy per
In Section 11.2.1 we calculated the energy per unit time radiated by a (nonrelativistic) point charge—the Larmor formula. In the same spirit: (a) Calculate the momentum per unit time...
See AnswerQ: Prove the BAC-CAB rule by writing out both sides in
Prove the BAC-CAB rule by writing out both sides in component form.
See AnswerQ: (a) Let / Calculate the divergence and
(a) Let / Calculate the divergence and curl of F1 and F2. Which one can be written as the gradient of a scalar? Find a scalar potential that does the job. Which one can be written as the curl of a ve...
See AnswerQ: Suppose the (electrically neutral) yz plane carries a time-
Suppose the (electrically neutral) yz plane carries a time-dependent but uniform surface current K(t) zˆ. (a) Find the electric and magnetic ï¬elds at a height x above the pl...
See AnswerQ: Use the duality transformation (Prob. 7.64) to
Use the duality transformation (Prob. 7.64) to construct the electric and magnetic fields of a magnetic monopole qm in arbitrary motion, and find the “Larmor formula” for the power radiated.23
See AnswerQ: Find the radiation resistance of the wire joining the two ends of
Find the radiation resistance of the wire joining the two ends of the dipole. (This is the resistance that would give the same average power loss—to heat—as the oscillating dipole in fact puts out in...
See AnswerQ: Assuming you exclude the runaway solution in Prob. 11.19
Assuming you exclude the runaway solution in Prob. 11.19, calculate (a) the work done by the external force, (b) the final kinetic energy (assume the initial kinetic energy was zero), (c) the total ene...
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