The magnetic field of an electromagnetic wave is described by By = B0cos(kx - ωt), where B0 = 5.5 × 10-6 T and ω = 3.5 × 107 rad/s. a. What is the amplitude of the corresponding electric field oscillations, E0, in terms of B0? b. Calculate the electric field E0 in volts per meter. c. What is the frequency of the electromagnetic wave, f, in terms of ω? d. What is the wavelength of the electromagnetic wave, λ, in terms of ω and the speed of light c? e. Calculate the wavelength λ in meters.

The magnetic field of an electromagnetic wave is described by By = B0cos(kx - ωt), where B0 = 5.5 × 10-6 T and ω = 3.5 × 107 rad/s. a. What is the amplitude of the corresponding electric field oscillations, E0, in terms of B0? b. Calculate the electric field E0 in volts per meter. c. What is the frequency of the electromagnetic wave, f, in terms of ω? d. What is the wavelength of the electromagnetic wave, λ, in terms of ω and the speed of light c? e. Calculate the wavelength λ in meters.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 87P: A certain 60.0-Hz ac power line radiates an electromagnetic wave having a maximum electric field...

See similar textbooks

Similar questions

A certain 60.0-Hz ac power line radiates an electromagnetic wave having a maximum electric field strength of 13.0 kV/m. (a) What is the wavelength of this very-low-frequency electromagnetic wave? (b) What type of electromagnetic radiation is this wave (b) What is its maximum magnetic field strength?
The electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI units. a. What are the amplitudes Emax and Bmax? b. What are the angular wave number and the wavelength? c. What is the propagation velocity? d. What are the angular frequency, frequency, and period?
What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?
The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wave
During normal beating, the heart creates a maximum 4.00-mV potential across 0.300 m of a person’s chest, creating a 1.00-Hz electromagnetic wave. (a) What is the maximum electric field strength created? (b) What is the corresponding maximum magnetic field strength in the electromagnetic wave? (C) What is the wavelength of the electromagnetic wave?
The magnetic field of a plane electromagnetic wave moving along the z axis is given by B =B0(coskz+t) j , where B0=5.001010 and k=3.10102m-1 . (a) Write an expression for the electric field associated with the wave. (b) What are the frequency and the wavelength of the wave? (C) What is its average Poynting vector?
If you wish to detect details of the size of atoms (about 0.2 nm) with electromagnetic radiation, it must have a wavelength of about this size. (a) What is its frequency? (b) What type of electromagnetic radiation might this be?
The magnetic field of an electromagnetic wave is described by By = B0cos(kx - ωt), where B0 = 6.5 × 10-6 T and ω = 8.5 × 107 rad/s.a. What is the amplitude of the corresponding electric field oscillations, E0, in terms of B0? b. Calculate the electric field E0 in volts per meter. c. What is the frequency of the electromagnetic wave, f, in terms of ω? d. Calculate the wavelength λ in meters.
The magnetic field of an electromagnetic wave is described by By = B0cos(kx - ωt), where B0 = 5.5 × 10-6 T and ω = 3.5 × 107 rad/s. A. What is the frequency of the electromagnetic wave, f, in terms of ω? (Not in Hz) B. What is the wavelength of the electromagnetic wave, λ, in terms of ω and the speed of light c?
In a single component of an electromagnetic plane wave, what is the relative orientation of the vector directions of the electric field, the magnetic field, and the propagationg direction? O a. The electric and magnetic fields are perpendicular to each other and are both perpendicular to the propagation direction. O b. The electric and magnetic fields are parallel to each other and are both perpendicular to the propagation direction. O c. The electric and magnetic fields are perpendicular to each other and are both parallel to the propagation direction. O d. The electric field direction, magnetic field direction, and propagation direction can be oriented independent of one another and in any direction. O e. The electric and magnetic fields are parallel to each other and are both parallel to the propagation direction.
In a single component of an electromagnetic plane wave, what is the relative orientation of the vector directions of the electric field, the magnetic field, and the propagationg direction? a. The electric and magnetic fields are parallel to each other and are both parallel to the propagation direction. b. The electric field direction, magnetic field direction, and propagation direction can be oriented independent of one another and in any direction. c. The electric and magnetic fields are parallel to each other and are both perpendicular to the propagation direction. d. The electric and magnetic fields are perpendicular to each other and are both perpendicular to the propagation direction. e. The electric and magnetic fields are perpendicular to each other and are both parallel to the propagation direction.
In a single component of an electromagnetic plane wave, what is the relative orientation of the vector directions of the electric field, the magnetic field, and the propagationg direction? a. The electric and magnetic fields are perpendicular to each other and are both parallel to the propagation direction. b. The electric and magnetic fields are parallel to each other and are both parallel to the propagation direction. c. The electric field direction, magnetic field direction, and propagation direction can be oriented independent of one another and in any direction. d. The electric and magnetic fields are parallel to each other and are both perpendicular to the propagation direction. e. The electric and magnetic fields are perpendicular to each other and are both perpendicular to the propagation direction.