A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
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...
Electromagnetic Waves 2 1 2 3 45 6 A plane monochromatic electromagnetic wave with wavelength ? field is described by 2.6 cm, propagates through a vacuum. Its magnetic where B, -2.7 x 106 T, By-3 x 06 T, and i-hat and j-hat are the unit vectors in the x and y directions, respectively. 1) What is f, the frequency of this wave? GHZ Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make...
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...
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...
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...
Number 6 only tic Waves The magnetic field in a plane monochromatic electromagnetic wave with wavelength A - 431 nm vacuum in the z-direction is described by B- (Bi sin(ks-t)(i +3) where B, -7.8x 1o* T, and i-hat and j-hat are the unit vectors in the .x and y directions, respectivety. 1) What is k, the wavenumber of this wave? 1.458e7 m Submit 2) What is Zmax the distance along the positive z-axis to the position where the magnitude of...
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...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz – wt), [1] where Ēo = (3î + 4ỹ) Vm-1 (a) Write down the expression for the magnetic field of this wave. (b) Compute the Maxwell tensor of the wave and provide a physical interpretation of your results. (c) If the frequency of the waves is f = 2.5 x 10Hz what is the energy density in the waves at t= 0 and z= 2.0...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...