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5. Electromagnetic wave in a conductor (10 points) Assume that there is an electromagnetic wave in a conductor with conductivity o, permit € and permeability u. It can be shown that the complex expression for the electrici Ē(2,t) = Ēoe-kzei(kz-wt) g where Eo is independent of x, y, z, t, (10) and --- + [v1 + (9* - )" (11) a) (4 points) Show that the associated magnetic field is: B(3,t) =***Ẽoe-v=ei(k=-ut); (12) b) (6 points) Assume that Eo is...
Find the intensity of the electromagnetic wave described in each case (a) an electromagnetic wave with a wavelength of 595 nm and a peak electric field magnitude of 8.3 V/m W/m2 (b) an electromagnetic wave with an angular frequency of 5.5 x 1018 rad/s and a peak magnetic field magnitude of 10-10 T. W/m2
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...
An electromagnetic wave has an electric field given by... Find the wavelength. An electromagnetic wave has an electric field given by E(y,t) = [2.90 x 10^5 V/m cos(ky - ( 1.370 x 10^13rad/s )t)]k-hat. What is the wavelength of the wave?
What is the frequency of the wave? The electric ield of a sinusoidal electromagnetic wave obeys the equation F--(395V/m) sin(5.96 × 1015rad/s)t + (1.96 × 10"rad/m)2]
2. Sound is an electromagnetic wave. (True or False)
A linearly polarized electromagnetic wave has an average intensity of Io. This wave is incident on a polarizer. What angle between the axis of polarization of the polarizer and the direction of polarization of the incident light will result in an average intensity of light leaving the polarizer of 0.51.10? Submit Answer
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...
What is the speed of an electromagnetic wave with a frequency of 100 MHz as it travels through a vacuum? Less than c Depends on its wavelength Greater than c Equal to c
In a medium characterised by a = 0,4 = Ho,€, an electromagnetic wave is described by; E = Em sin(wt -ky) a, V/m a) find an expression for; (1 marks) ii. B (5 marks) b) Sketch E and Hatt=0. (3 marks) c) The electromagnetic wave enters a region and propagates such that; i. D Em = 50 V /m, do = 2mx10? rad/s, k = 5 i. State the direction of wave propagation ii. Compute the period T, velocity v...