Questions from Electronics

Q: (a) Repeat Prob. 11.19, but this

(a) Repeat Prob. 11.19, but this time let the external force be a Dirac delta function: F(t)=kδ(t) (for some constant k).25 [Note that the acceleration is now discontinuous at t=0 (though the velocity...

Q: A charged particle, traveling in from /along the x axis

A charged particle, traveling in from /along the x axis, encounters a rectangular potential energy barrier Show that, because of the radiation reaction, it is possible for the particle to tunnel throu...

Q: (a) Find the radiation reaction force on a particle moving

(a) Find the radiation reaction force on a particle moving with arbitrary velocity in a straight line, by reconstructing the argument in Sect. 11.2.3 without assuming / (b) Show that this result is...

Q: (a) Does a particle in hyperbolic motion (Eq.

(a) Does a particle in hyperbolic motion (Eq. 10.52) radiate? (Use the exact formula (Eq. 11.75) to calculate the power radiated.) (b) Does a particle in hyperbolic motion experience a radiation react...

Q: Use the result of Prob. 10.34 to determine the

Use the result of Prob. 10.34 to determine the power radiated by an ideal electric dipole, p(t), at the origin. Check that your answer is consistent with Eq. 11.22, in the case of sinusoidal time depe...

Q: A rotating electric dipole can be thought of as the superposition of

A rotating electric dipole can be thought of as the superposition of two oscillating dipoles, one along the x axis and the other along the y axis (Fig. 11.7), with the latter out of phase by 90â...

Q: For Theorem 1, show that (d) ⇒ (a

For Theorem 1, show that (d) ⇒ (a), (a) ⇒ (c), (c) ⇒ (b), (b) ⇒ (c), and (c) ⇒ (a).

Q: Calculate the electric and magnetic fields of an oscillating magnetic dipole without

Calculate the electric and magnetic fields of an oscillating magnetic dipole without using approximation 3. [Do they look familiar? Compare Prob. 9.35.] Find the Poynting vector, and show that the inte...

Q: Find the radiation resistance (Prob. 11.3) for

Find the radiation resistance (Prob. 11.3) for the oscillating magnetic dipole in Fig. 11.8. Express your answer in terms of λ and b, and compare the radiation resistance of the electric dipole. [Answ...

Q: Use the “duality” transformation of Prob. 7.64

Use the “duality” transformation of Prob. 7.64, together with the fields of an oscillating electric dipole (Eqs. 11.18 and 11.19), to determine the fields that would be produced by an oscillating “Gilbe...