953_Physics ProblemsTechnical Physics

953_Physics ProblemsTechnical Physics - 294 Electromagnetic...

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294 Electromagnetic Waves SOLUTIONS TO PROBLEMS Section 34.1 Maxwell’s Equations and Hertz’s Discoveries *P34.1 (a) The rod creates the same electric field that it would if stationary. We apply Gauss’s law to a cylinder of radius r = 20 cm and length A : EA ⋅= °= z d q Er l l inside 0 0 20 π λ bg cos FIG. P34.1 Ej j = = ×⋅ × 2 35 10 2 8 85 10 0 2 315 10 0 9 12 3 r radially outward ±Cm±Nm C m NC 2 2 ej a f .. ± . ± . (b) The charge in motion constitutes a current of 35 10 15 10 0 525 96 ×× = Cm ms A e j . . This current creates a magnetic field. B = µ 0 2 I r = 41 0 0 5 2 5 2 525 10 7 7 TmA A m T a f af . . ± . ± kk (c) The Lorentz force on the electron is Fq q =+× EvB F F =− × × +− × × × × F H G I K J −+× += × −− 1 6 10 3 15 10 1 6 10 240 10 5 25 10 5 04 10 2 02 10 4 83 10 19 3 19 6 7 16 17 16 ± . ± . ± . ± . ± . ± N C C m s Ns N N N e j e j ji k jj j Section 34.2 Plane Electromagnetic Waves P34.2 (a) Since the light from this star travels at
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