If the magnetic field in a plane electromagnetic wave is along the y axis and its magnitude is given by Bm sin (kx – ?t) in SI units, then the electric field is along the z axis and its magnitude is given by
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If the magnetic field in a plane electromagnetic wave is along the y axis and its...
If the magnetic field of a light wave oscillates parallel to the z axis and is given by B, Bm sin(kx - wt), in what direction does the wave travel and parallel to which axis does the associated electric field oscillate?
Pretest: Electromagnetic waves Name Pretests 159 1. Shown below are pictorial and mathematical representations of an electromagnetic plane wave space. The electric field is parailel to the z-axis. The magnetic field propagating through empty is parallel to the y-axis. The E(x, y, z, t) E, sin(kx + 0x)2 The points P. Q. R, and S in the diagram above lie in thex-y plane. i. For the instant shown, rank points P. Q. R, and S according to the magnitude of...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength A = 445 nm, propagating in a vacuum in the 2-direction is described by B=(Bj sin(kz - wt)(i+1) where 8, = 8.6 X 10ºT, and 1-hat and juhat are the unit vectors in the *x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m Submit 2) What is max, the distance along the positive z-axis to the position where the magnitude of the magnetic...
A changing magnetic field of an electromagnetic wave exists in the yz-plane. The wave is moving in the +y-direction. One magnetic field line which starts at (0, 0.2 m, 0) is directed in the -z-direction and has a magnitude of 0.40 T. Moving along in the +y direction a distance of dy (the differential of y), another magnetic field line is also direct in the -z-direction and has a magnitude of 0.41 T. What is the direction of the electric...
The magnetic field of a plane electromagnetic wave is given by B2 = 21.7 sin(kx – 6.53 x 10®t) nt. (a) What is the amplitude of the electric field of this wave? 6.51e9V/m (b) What is the frequency f? Hz (c) What is the wavelength 2?
The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 427 nm, propagating in a vacuum in the z-direction is described by B⃗=(B1sin(kz−ωt))(i^+j^)B→=(B1sin(kz−ωt))(i^+j^) where B1 = 7.6 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? 2) What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...