The electric field of an electromagnetic plane wave traveling in a vaccum is described by E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt) with k = 1.0 * 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.

The electric field of an electromagnetic plane wave traveling in a vaccum is described by E(x,y,z,t) = 200 (V/m)exei(ky-ωt) with k = 1.0 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.

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...

See similar textbooks

Related questions

Q: sinusoidal electromagnetic wave propagates in the +x direction through empty space. Its electric…

Q: n a plane electromagnetic wave, the directions of electric field and magnetic field are represented…

A: Given data- E→=k^B→=2i^-2j^unit vector along direction of propagation=?

Q: An electromagnetic wave in a vacuum has a magnetic field with a magnitude of 1.88 × 10-6 T. What is…

A: The intensity of an electromagnetic wave is the energy carried by the wave per unit time per unit…

Q: 6. Use Maxwell's equations (see Section 4.1.1) to show that if the charge density field e and the…

Q: An electromagnetic plane wave, that is propagating in the x-direction at a speed of 3.00 x108 m/s,…

Q: At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by E=…

A: The Poynting vector of electromagnetic wave is given by S→=1μ(E→×B→) where μ is the…

Q: A current of (1.124x10^0) A is used to charge a parallel plate capacitor with square plates. The…

A: According to Maxwell , conduction current in wire and displacement current(i) between plate of…

Q: Find the intensity of the electromagnetic wave described in each case. (a) an electromagnetic wave…

A: Introduction: The electromagnetic waves propagating through space, containing electromagnetic…

Q: k Electromagnetic wave having magnetic field B(x, y, z,t) = B. sin [(x+y) √ + ok where k is wave…

Q: The magnetic field of an electromagnetic wave is given by B⁡(x,t)=(0.80 μT)⁢sin⁡[(9.00⁢π×106⁢…

Q: The magnetic field of an electromagnetic wave is given by: B=5.3×102sin[5.85×106π(x−3.0×108t)] where…

Q: A (7.4020x10^-1)-m radius cylindrical region contains a uniform electric field that is parallel to…

Q: The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y…

A: Amplitude (A) = 30 mAmFrequency (f) = 1082π Hz wavelength (λ) = 12.6 m

Q: A rocket zooms past the earth at v= 2.0 x 106 m/s. Scientists on the rocket have created the…

Q: In the positive x direction, a plane EM wave varies sinusoidally at 99 MHz and the peak value of the…

A: Wavelength of the wave λ=cf=3×108 m/s99 MHz1 MHz106 Hz=3.03 m

Q: The y component of the electric field of an electromagnetic wave traveling in the +x direction…

A: The y component of the electric field of an electromagnetic wave traveling in the +x…

Q: An electromagnetic wave is traveling in a vacuum. The magnetic field is given by: B(z,t)=(1.00x10^-8…

A: Given, The magnetic field, Bz,t=1×10-8Tcoskz-6.3×10-8t The angular frequency, ω=6.3×10-8rad/s a. The…

Q: At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by E =…

A: Given that:- E=-7.69×10^-3 (k cap) V/m B=-2.56×10^-11 (i cap) T

Q: The amplitude of the electric field of an electromagnetic wave traveling in a vacuum is measured to…

A: Given Magnitude of electric field E = 3.8 × 102 V/m To find Amplitude of the magnetic field in…

Q: The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375 V/m) cos [(1.99…

A: The expression for the electric field of a sinusoidal electromagnetic wave is given by: E=375…

Q: The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375 V/m) cos [(1.99…

A: (a) Speed of the wave v=ωk=5.97×1015 rads1.99×107 radm=3.00×108 ms (b) Amplitudes of the electric…

Q: The electric field of an electromagnetic wave is given by; E=4.40 × 102 sin(3.10 × 106 π (x-3.0 ×108…

Q: On a cloudless day, the sunlight that reaches the surface of the earth has an intensity of about…

A: The electromagnetic energy per unit volume of space is,

Q: The electric field of an electromagnetic wave is givenbyE =⎛⎝6.0 × 10−3 V/m⎞⎠sin ⎡⎣2π⎛⎝x18 m −t6.0 ×…

A: Given: Electric field is E→6×10-3sin2πx18-t6×10-8j^ Vacuum's permeability is μo=4π×10-7N/A2

Q: The magnetic field of an electromagnetic wave is given by: B=5.3×102sin[8.95×106π(x−3.0×108t)] where…

Q: The electric field of an electromagnetic wave is given by 2.0 sinz-wt) î+ 8.0 sin(kz - wt)ĵ. If the…

A: We are given the electric field. We first find unit vector along this electric field. We are also…

Q: The magnetic field of a plane electromagnetic wave in empty space in SI system is given by…

A: Magnetic field of an EM wave is given by, B=10 cos(k.r-wt)z

Q: At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by E=…

A: Electric field of EM wave is Magnetic field of EM wave is Note:Permeability of free space is…

Q: An electric current I = 0.65 A is flowing in a long wire. Consider a rectangular area with one side…

A: The expression for the magnitude of magnetic field due to long wire carrying current at distance r…

Q: A planar electromagnetic wave is propagating in the -x direction. At a certain point P and at a…

Q: Consuder the plane electromagnetic wave given by the following expression(in SI units): Ex = 0 Ey…

A: The equation for electric field of this electromagnetic wave is given by; Ey=2cos2π×1014t-xc+π2…

Q: At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by E =…

A: Formula for pointing vector is

Q: The magnetic field B(z, t)of an electromagnetic wave is given by B(z, t) = [(9.15 x 10-9T)jsin(3.25…

Q: An electromagnetic wave has an electric field given by E(z, t) = (2.98 x 105 V/m)î cos [kz – (12.65…

A: The direction of propagation is the direction of wave vector so given direction of wave vector is…

Q: The magnetic field, as a function of position and time, of an electromagnetic wave away from its…

A: Given, The magnetic field, B(z,t)=-(8.25×10-9)j^sin1.38×104z-ωt Comparing it with B→=B0sinkz±ωt…

Q: An electromagnetic wave from a wire antenna travels (from the reader) toward the plane of the paper.…

Question

The electric field of an electromagnetic plane wave traveling in a vaccum is described by

E(x,y,z,t) = 200 (V/m)e_x*e^i(ky-ωt)

with k = 1.0 * 10⁷/m and ω = 3 * 10¹⁵ rad/s

Find the vector expression that describes the corresponding magnetic field of this wave.

Interaction between an electric field and a magnetic field.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Formula

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

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?
If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?
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
What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?
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?
Suppose the magnetic field of an electromagnetic wave is given by B = (1.5 1010) sin (kx t) T. a. What is the maximum energy density of the magnetic field of this wave? b. What is maximum energy density of the electric field?
A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?
An incandescent light bulb emits only 2.6 W of its power as visible light. What is the rms electric field of the emitted light at a distance of 3.0 m from the bulb?
The electric field of an electromagnetic wave is given by; E=4.40 × 102 sin(3.10 × 106 π (x-3.0 ×108 t)) where everything is in SI units. What is the wave's frequency and amplitude of the magnetic field associated with the TEM wave?
In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by k^\hat{k}k^ and 2i^−2j^2\hat{i}-2\hat{j}2i^−2j^, respectively. What is the unit vector along direction of propagation of the wave.
The magnetic field of an electromagnetic wave is given by: B=5.3×102sin[8.95×106π(x−3.0×108t)] where everything is in SI units. a) What is the wave's wavelength? b) What is the wave's frequency? c) What is the amplitude of the electric field?
The magnetic field of a plane electromagnetic wave in empty space in SI system is given by B=10cos(k -r- ot)î where the wave number vector of a standing wave in SI system is given by k = 4x +3ŷ Calculate the associated electric field with the information that E, = 2Ex. Find the wavelength and the frequency of the wave. What is the magnitude of the electric and magnetic fields?