The electric field in a sinusoidal wave change asE = (25 N/C) cos[(1.2 x 10^11 rad/s)t + [(1.2 x 10^11 rad/s) x] Hint: The following relation might help: E = Emax cos[2p (t/T ± x/l)] and B = Bmax cos[2p (t/T ± x/l)] Clear show all the work and step to solve the problem. (a). In what direction does the wave propagate ? (b). What is the amplitude of the electric field oscillations ? (c). What is the amplitude of the magnetic field oscillations ? (d). What is the frequency of the wave ? (e). What is the wavelength ? (f). What is the speed? (g). What other information can you infer from the equation?

The electric field in a sinusoidal wave change asE = (25 N/C) cos[(1.2 x 10^11 rad/s)t + [(1.2 x 10^11 rad/s) x] Hint: The following relation might help: E = Emax cos[2p (t/T ± x/l)] and B = Bmax cos[2p (t/T ± x/l)] Clear show all the work and step to solve the problem. (a). In what direction does the wave propagate ? (b). What is the amplitude of the electric field oscillations ? (c). What is the amplitude of the magnetic field oscillations ? (d). What is the frequency of the wave ? (e). What is the wavelength ? (f). What is the speed? (g). What other information can you infer from the equation?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 45P: The electric field of an electromagnetic wave traveling in vacuum is described by the following wave...

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Concept explainers

Electromagnetic Waves

Electromagnetic waves are waves that consist of magnetic field and electric field components perpendicular to each other. These field components are also perpendicular to the direction of propagation of the wave.

Question

The electric field in a sinusoidal wave change as
E = (25 N/C) cos[(1.2 x 10^11 rad/s)t + [(1.2 x 10^11 rad/s) x]

Hint: The following relation might help: E = Emax cos[2p (t/T ± x/l)] and B = Bmax cos[2p (t/T ± x/l)] Clear show all the work and step to solve the problem.

(a). In what direction does the wave propagate ?

(b). What is the amplitude of the electric field oscillations ?

(c). What is the amplitude of the magnetic field oscillations ?

(d). What is the frequency of the wave ?

(e). What is the wavelength ?

(f). What is the speed?

(g). What other information can you infer from the equation?

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