(a) What are the wavelength and
frequency of the EM wave?
(b) Write an equation for the magnetic field vector of the EM
field.
(c) What is the average Poynting vector?
(a) What are the wavelength and frequency of the EM wave? (b) Write an equation for...
8. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation E~ y(x, t) = (325 N/C) cos[(4500 m−1 )x − (1.35 × 1012 rad/s)t + 0.6]ˆj (a) What are the wavelength and frequency of the EM wave? (b) Write an equation for the magnetic field vector of the EM field. (c) What is the average Poynting vector? I need all parts of this question. Thanks!
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The magnetic field is given by B^rightarrow (z, t) = (5.00 times 10^- 8 T) cos (Kz - omega t)i^. (Assume the electromagnetic wave is travelling in the k^direction. Find the wavelength of this wave. 2.72 m Find the electric field vector E^rightarrow (z, t). (Use the following as necessary: z, and t.) E^rightarrow (z, t) = V/m Determine the Poynting vector. (Use the following...
A sinusoidal electromagnetic wave having a magnetic field of amplitude 1.25 µT and a wavelength of 423 nm is traveling in the +x-direction through empty space. a) What is the frequency of this wave? b) What is the amplitude of the associated electric field? c) Determine the Poynting vector for this wave.
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...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi+Byj) cos(kz + wt) where Bx = 2 x 10-6 T, By = 3.4 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 3) What is Sy, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? W/m2...
(20 pts) An em wave traveling through air has an electric field described by the equation Eo sin [kz (5 pts) Determine the wavelength, frequency, and direction of travel for this wave (10 pts) Usee the facts E. x Bo is in the direction of travel and Eo is perpendicular to Bo to show that Bx 6. 8π rad/m. (600 i) V/m and k E ot], where Eo а. b 0, and By 0, Вz (5 pts) Determine the Poynting...
Find wavelength. Find Frequency. A sinusoidal electromagnetic wave in vacuum has magnetic-field amplitude 4.30 x 10-3 T and wave number 2.50 x 10Ⓡ rad/m. At a certain position and time the electric field points in the -y-direction and the magnetic field B points in the +1-direction. Find the amplitude of Ē.
EM wavelength in water 1. At frequency w = 10 GHz, liquid water has a permittivity e = 1 i€2, With ei 80eo, 15€0, and a permeability u= Ho E2 (a) Starting from the Maxwell equations, show that the wave equation for EM waves in water, is given by VE(r, t) eHo2Er, t) (b) Show that the wave E(r, t) = żEg exp [i (kx - wt)] is a solution to the wave equation with k kR+ik, complex and w...
Please help with part (c). Thank you! The electric field of a sinusoidal electromagnetic wave obeys the equation E = -(420 V/m) sin [(5.22 times 10^15 rad/s)t + (1.74 times 10^7 rad/m)x], What are the amplitudes of the electric and magnetic fields of this wave? What are the frequency, wavelength, and period of the wave? Is this light visible to humans? What is the speed of the wave?