Q: Check Stokes’ theorem using the function / (a
Check Stokes’ theorem using the function / (a and b are constants) and the circular path of radius R, centered at the origin in the xy plane. [Answer: π R2(b − a)]
See AnswerQ: Show that the (ordinary) acceleration of a particle of mass
Show that the (ordinary) acceleration of a particle of mass m and charge q, moving at velocity u under the influence of electromagnetic fields E and B, is given by / [Hint: Use Eq. 12.74.]
See AnswerQ: Why can’t the electric field in Fig. 12.35b have
Why can’t the electric field in Fig. 12.35b have a z component? After all, the magnetic field does.
See AnswerQ: A parallel-plate capacitor, at rest in S0 and tilted
A parallel-plate capacitor, at rest in S0 and tilted at a 45◦ angle to the x0 axis, carries charge densities ±σ0 on the two plates (Fig. 12.41). System S i...
See AnswerQ: In system S0, a static uniform line charge λ coincides with
In system S0, a static uniform line charge λ coincides with the z axis. (a) Write the electric field E0 in Cartesian coordinates, for the point (x0, y0, z0). (b) Use Eq. 12.109 to find the electric in ,...
See AnswerQ: (a) Charge qA is at rest at the origin in
(a) Charge qA is at rest at the origin in system ; charge qB flies by at speed v on a trajectory parallel to the x axis, but at y=d. What is the electromagnetic force on qB as it crosse...
See AnswerQ: Two charges,((q, are on parallel trajectories a distance d
Two charges,((q, are on parallel trajectories a distance d apart, moving with equal speeds v in opposite directions. We’re interested in the force on+ q due to -q at the instant they...
See AnswerQ: (a) Show that (E · B) is relativistically
(a) Show that (E · B) is relativistically invariant. (b) Show that (E 2 − c2 B2) is relativistically invariant. (c) Suppose that in one inertial system B=0 but E(0 (at some point P). Is it possible to...
See AnswerQ: An electromagnetic plane wave of (angular) frequency ω is traveling
An electromagnetic plane wave of (angular) frequency ω is traveling in the x direction through the vacuum. It is polarized in the y direction, and the amplitude of the electric field is E0. (a) Write d...
See AnswerQ: Work out the remaining five parts to Eq. 12.118
Work out the remaining five parts to Eq. 12.118.
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