Q.29 029 The magnetic field of a plane electromagnetic wave is given by: where B,-3x 10-5 T and B...
A plane sinusoidal electromagnetic wave has a magnetic field amplitude of 5 x 10^-5 T. and 1.5 x 10^4 V/m for the electric field amplitude of the wave. a) How much energy is contained in a volume of 1 x 10^-3 m^3 if the wave completely fills this volume? please show all work
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
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?
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...
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 *...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength vacuum in the z-direction is described by - 561 nm, propagating in a B = (B1 sin(kz - @))i + where B1 - 6.8 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and y directions, respectively. 6) What is tmax, the first time after t - 0, when the magnitude of the electric field at the origin (x-y-z-0) has its maxiumum value? s...
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...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
The magnetic field of an electromagnetic wave is given by
where B is measured in Tesla, x in meters, and t in seconds.
a) What is the wavelength of the wave? Enter your answer in
nm.
b) What is the frequency (not the angular
frequency) of the wave? Enter your answer in THz (terra-hertz),
where 1 THz = 1012 Hz.
c) What is the amplitude of the wave's electric field? Enter
your answer in V/m.
d) What is the average...
Part 1: A plane electromagnetic wave propagates in vacuum. Its electric field is given by the mathematical expression Ex = 235 cos 0.63m?1 z ? 1.9 × 108 s ?1 t V/ (for refrence). Actual Question : According to the above expression, at a particular instance in time, the electric field is along the +x direction. Indicate the magnitude and direction of the wave’s magnetic field at the same instance. (Hint: The right-hand rule applies.) A. 78 × 10?8T, z...